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Simplifying -1x + 2(6 + -5x) = -2x + 39 -1x + (6 * 2 + -5x * 2) = -2x + 39 -1x + (12 + -10x) = -2x + 39 Reorder the terms: 12 + -1x + -10x = -2x + 39 Combine like terms: -1x + -10x = -11x 12 + -11x = -2x + 39 Reorder the terms: 12 + -11x = 39 + -2x Solving 12 + -11x = 39 + -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. 12 + -11x + 2x = 39 + -2x + 2x Combine like terms: -11x + 2x = -9x 12 + -9x = 39 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -9x = 39 + 0 12 + -9x = 39 Add '-12' to each side of the equation. 12 + -12 + -9x = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 39 + -12 -9x = 39 + -12 Combine like terms: 39 + -12 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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