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Simplifying 4(3 + -1x) + -1(6x + 9) = -12x (3 * 4 + -1x * 4) + -1(6x + 9) = -12x (12 + -4x) + -1(6x + 9) = -12x Reorder the terms: 12 + -4x + -1(9 + 6x) = -12x 12 + -4x + (9 * -1 + 6x * -1) = -12x 12 + -4x + (-9 + -6x) = -12x Reorder the terms: 12 + -9 + -4x + -6x = -12x Combine like terms: 12 + -9 = 3 3 + -4x + -6x = -12x Combine like terms: -4x + -6x = -10x 3 + -10x = -12x Solving 3 + -10x = -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. 3 + -10x + 12x = -12x + 12x Combine like terms: -10x + 12x = 2x 3 + 2x = -12x + 12x Combine like terms: -12x + 12x = 0 3 + 2x = 0 Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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