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Simplifying 12x + -1(2x + -2) = 6x + (3x + -4) Reorder the terms: 12x + -1(-2 + 2x) = 6x + (3x + -4) 12x + (-2 * -1 + 2x * -1) = 6x + (3x + -4) 12x + (2 + -2x) = 6x + (3x + -4) Reorder the terms: 2 + 12x + -2x = 6x + (3x + -4) Combine like terms: 12x + -2x = 10x 2 + 10x = 6x + (3x + -4) Reorder the terms: 2 + 10x = 6x + (-4 + 3x) Remove parenthesis around (-4 + 3x) 2 + 10x = 6x + -4 + 3x Reorder the terms: 2 + 10x = -4 + 6x + 3x Combine like terms: 6x + 3x = 9x 2 + 10x = -4 + 9x Solving 2 + 10x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 10x + -9x = -4 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x = -4 + 0 2 + 1x = -4 Add '-2' to each side of the equation. 2 + -2 + 1x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -4 + -2 1x = -4 + -2 Combine like terms: -4 + -2 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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