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Liula [17]
3 years ago
8

Solve for x: 4 - (x + 2) <-3(x + 4) OX<-7 Ox>-7 0x=-9 OX-9

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

X < -7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Let's simplify step-by-step.<span><span><span>9<span>(<span><span>2x</span>−1</span>)</span></span>−<span>9x</span></span>−<span>18

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</span></span></span>Combine Like Terms:<span>=<span><span><span><span>18x</span>+<span>−9</span></span>+<span>−<span>9x</span></span></span>+<span>−18</span></span></span><span>=<span><span>(<span><span>18x</span>+<span>−<span>9x</span></span></span>)</span>+<span>(<span><span>−9</span>+<span>−18</span></span>)</span></span></span><span>=<span><span>9x</span>+<span>−<span>27

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\sf Factor  \: the  \: following:  \\  \sf \implies  {a}^{2}  + 4a + 3 \\  \\  \sf The \:  factors  \: of \:  3 \:  that \:  sum \:  to \:  4  \\ \sf are \:  3  \: and  \:  1. \\ \\  \sf So,  \\   \sf \implies {a}^{2}  + (3 + 1)a + 3 \\  \\  \sf \implies   {a}^{2}  + 3a + a + 3 \\  \\  \sf \implies a(a + 3) + 1(a + 3)  \\  \\ \sf \implies (a + 3)(a + 1)

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