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Simplifying -5(w + 2x) = -5w * 10 (w * -5 + 2x * -5) = -5w * 10 (-5w + -10x) = -5w * 10 Reorder the terms for easier multiplication: -5w + -10x = -5 * 10w Multiply -5 * 10 -5w + -10x = -50w Solving -5w + -10x = -50w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '50w' to each side of the equation. -5w + 50w + -10x = -50w + 50w Combine like terms: -5w + 50w = 45w 45w + -10x = -50w + 50w Combine like terms: -50w + 50w = 0 45w + -10x = 0 Add '10x' to each side of the equation. 45w + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 45w + 0 = 0 + 10x 45w = 0 + 10x Remove the zero: 45w = 10x Divide each side by '45'. w = 0.2222222222x Simplifying w = 0.2222222222x
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