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Simplifying -5(2x + -1) = 2(x + -39) + -61 Reorder the terms: -5(-1 + 2x) = 2(x + -39) + -61 (-1 * -5 + 2x * -5) = 2(x + -39) + -61 (5 + -10x) = 2(x + -39) + -61 Reorder the terms: 5 + -10x = 2(-39 + x) + -61 5 + -10x = (-39 * 2 + x * 2) + -61 5 + -10x = (-78 + 2x) + -61 Reorder the terms: 5 + -10x = -78 + -61 + 2x Combine like terms: -78 + -61 = -139 5 + -10x = -139 + 2x Solving 5 + -10x = -139 + 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 = -139 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = -139 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = -139 + 0 5 + -12x = -139 Add '-5' to each side of the equation. 5 + -5 + -12x = -139 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -139 + -5 -12x = -139 + -5 Combine like terms: -139 + -5 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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