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Simplifying 3x + -2(x + -1) = -4 + 3x + 12 Reorder the terms: 3x + -2(-1 + x) = -4 + 3x + 12 3x + (-1 * -2 + x * -2) = -4 + 3x + 12 3x + (2 + -2x) = -4 + 3x + 12 Reorder the terms: 2 + 3x + -2x = -4 + 3x + 12 Combine like terms: 3x + -2x = 1x 2 + 1x = -4 + 3x + 12 Reorder the terms: 2 + 1x = -4 + 12 + 3x Combine like terms: -4 + 12 = 8 2 + 1x = 8 + 3x Solving 2 + 1x = 8 + 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. 2 + 1x + -3x = 8 + 3x + -3x Combine like terms: 1x + -3x = -2x 2 + -2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = 8 + 0 2 + -2x = 8 Add '-2' to each side of the equation. 2 + -2 + -2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 8 + -2 -2x = 8 + -2 Combine like terms: 8 + -2 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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