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Simplifying -5(2x + -1) = 2x + 17 Reorder the terms: -5(-1 + 2x) = 2x + 17 (-1 * -5 + 2x * -5) = 2x + 17 (5 + -10x) = 2x + 17 Reorder the terms: 5 + -10x = 17 + 2x Solving 5 + -10x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -10x + -2x = 17 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = 17 + 0 5 + -12x = 17 Add '-5' to each side of the equation. 5 + -5 + -12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 17 + -5 -12x = 17 + -5 Combine like terms: 17 + -5 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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