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Simplifying 3(x + 2) + -1(6x + -9) = -4x Reorder the terms: 3(2 + x) + -1(6x + -9) = -4x (2 * 3 + x * 3) + -1(6x + -9) = -4x (6 + 3x) + -1(6x + -9) = -4x Reorder the terms: 6 + 3x + -1(-9 + 6x) = -4x 6 + 3x + (-9 * -1 + 6x * -1) = -4x 6 + 3x + (9 + -6x) = -4x Reorder the terms: 6 + 9 + 3x + -6x = -4x Combine like terms: 6 + 9 = 15 15 + 3x + -6x = -4x Combine like terms: 3x + -6x = -3x 15 + -3x = -4x Solving 15 + -3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = -4x + 4x Combine like terms: -4x + 4x = 0 15 + 1x = 0 Add '-15' to each side of the equation. 15 + -15 + 1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 0 + -15 1x = 0 + -15 Combine like terms: 0 + -15 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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