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chubhunter [2.5K]
3 years ago
13

Which algebraic expression is equivalent to the expression below?

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
Let's simplify step-by-step.<span><span>5<span>(<span><span>4x</span>+3</span>)</span></span>+<span>5<span>(<span>9−x</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span>(5)</span><span>(<span>4x</span>)</span></span>+<span><span>(5)</span><span>(3)</span></span></span>+<span><span>(5)</span><span>(9)</span></span></span>+<span><span>(5)</span><span>(<span>−x</span>)</span></span></span></span><span>=<span><span><span><span><span>20x</span>+15</span>+45</span>+</span>−<span>5x</span></span></span>Combine Like Terms:<span>=<span><span><span><span>20x</span>+15</span>+45</span>+<span>−<span>5x</span></span></span></span><span>=<span><span>(<span><span>20x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(<span>15+45</span>)</span></span></span><span>=<span><span>15x</span>+<span>60

Answer is B</span></span></span>
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