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Simplifying -5(2x + -1) = 2(x + -32) + -27 Reorder the terms: -5(-1 + 2x) = 2(x + -32) + -27 (-1 * -5 + 2x * -5) = 2(x + -32) + -27 (5 + -10x) = 2(x + -32) + -27 Reorder the terms: 5 + -10x = 2(-32 + x) + -27 5 + -10x = (-32 * 2 + x * 2) + -27 5 + -10x = (-64 + 2x) + -27 Reorder the terms: 5 + -10x = -64 + -27 + 2x Combine like terms: -64 + -27 = -91 5 + -10x = -91 + 2x Solving 5 + -10x = -91 + 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 = -91 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = -91 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = -91 + 0 5 + -12x = -91 Add '-5' to each side of the equation. 5 + -5 + -12x = -91 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -91 + -5 -12x = -91 + -5 Combine like terms: -91 + -5 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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