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Simplifying -5(x + 17) = 5x + 35 Reorder the terms: -5(17 + x) = 5x + 35 (17 * -5 + x * -5) = 5x + 35 (-85 + -5x) = 5x + 35 Reorder the terms: -85 + -5x = 35 + 5x Solving -85 + -5x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -85 + -5x + -5x = 35 + 5x + -5x Combine like terms: -5x + -5x = -10x -85 + -10x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -85 + -10x = 35 + 0 -85 + -10x = 35 Add '85' to each side of the equation. -85 + 85 + -10x = 35 + 85 Combine like terms: -85 + 85 = 0 0 + -10x = 35 + 85 -10x = 35 + 85 Combine like terms: 35 + 85 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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