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Simplifying 2x + -1(12x + -8) = 3(2 + -1x) Reorder the terms: 2x + -1(-8 + 12x) = 3(2 + -1x) 2x + (-8 * -1 + 12x * -1) = 3(2 + -1x) 2x + (8 + -12x) = 3(2 + -1x) Reorder the terms: 8 + 2x + -12x = 3(2 + -1x) Combine like terms: 2x + -12x = -10x 8 + -10x = 3(2 + -1x) 8 + -10x = (2 * 3 + -1x * 3) 8 + -10x = (6 + -3x) Solving 8 + -10x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -10x + 3x = 6 + -3x + 3x Combine like terms: -10x + 3x = -7x 8 + -7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -7x = 6 + 0 8 + -7x = 6 Add '-8' to each side of the equation. 8 + -8 + -7x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 6 + -8 -7x = 6 + -8 Combine like terms: 6 + -8 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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