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Simplifying -3(2x + -1) + 4(1 + -1x) = 3 + -12x Reorder the terms: -3(-1 + 2x) + 4(1 + -1x) = 3 + -12x (-1 * -3 + 2x * -3) + 4(1 + -1x) = 3 + -12x (3 + -6x) + 4(1 + -1x) = 3 + -12x 3 + -6x + (1 * 4 + -1x * 4) = 3 + -12x 3 + -6x + (4 + -4x) = 3 + -12x Reorder the terms: 3 + 4 + -6x + -4x = 3 + -12x Combine like terms: 3 + 4 = 7 7 + -6x + -4x = 3 + -12x Combine like terms: -6x + -4x = -10x 7 + -10x = 3 + -12x Solving 7 + -10x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 7 + -10x + 12x = 3 + -12x + 12x Combine like terms: -10x + 12x = 2x 7 + 2x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 2x = 3 + 0 7 + 2x = 3 Add '-7' to each side of the equation. 7 + -7 + 2x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 3 + -7 2x = 3 + -7 Combine like terms: 3 + -7 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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