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Simplifying 5(x + 20) + -10w = 5 Reorder the terms: 5(20 + x) + -10w = 5 (20 * 5 + x * 5) + -10w = 5 (100 + 5x) + -10w = 5 Reorder the terms: 100 + -10w + 5x = 5 Solving 100 + -10w + 5x = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -10w + -100 + 5x = 5 + -100 Reorder the terms: 100 + -100 + -10w + 5x = 5 + -100 Combine like terms: 100 + -100 = 0 0 + -10w + 5x = 5 + -100 -10w + 5x = 5 + -100 Combine like terms: 5 + -100 = -95 -10w + 5x = -95 Add '-5x' to each side of the equation. -10w + 5x + -5x = -95 + -5x Combine like terms: 5x + -5x = 0 -10w + 0 = -95 + -5x -10w = -95 + -5x Divide each side by '-10'. w = 9.5 + 0.5x Simplifying w = 9.5 + 0.5x
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