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Simplifying 4(1 + -2x) + 3(2 + -1x) = -12 (1 * 4 + -2x * 4) + 3(2 + -1x) = -12 (4 + -8x) + 3(2 + -1x) = -12 4 + -8x + (2 * 3 + -1x * 3) = -12 4 + -8x + (6 + -3x) = -12 Reorder the terms: 4 + 6 + -8x + -3x = -12 Combine like terms: 4 + 6 = 10 10 + -8x + -3x = -12 Combine like terms: -8x + -3x = -11x 10 + -11x = -12 Solving 10 + -11x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -12 + -10 -11x = -12 + -10 Combine like terms: -12 + -10 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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