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Simplifying 2(-1x + 2) = 2(5x + 7) Reorder the terms: 2(2 + -1x) = 2(5x + 7) (2 * 2 + -1x * 2) = 2(5x + 7) (4 + -2x) = 2(5x + 7) Reorder the terms: 4 + -2x = 2(7 + 5x) 4 + -2x = (7 * 2 + 5x * 2) 4 + -2x = (14 + 10x) Solving 4 + -2x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + -2x + -10x = 14 + 10x + -10x Combine like terms: -2x + -10x = -12x 4 + -12x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -12x = 14 + 0 4 + -12x = 14 Add '-4' to each side of the equation. 4 + -4 + -12x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 14 + -4 -12x = 14 + -4 Combine like terms: 14 + -4 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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