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Simplifying -1(3x + 9) + -6(-2 + -1x) = 15 Reorder the terms: -1(9 + 3x) + -6(-2 + -1x) = 15 (9 * -1 + 3x * -1) + -6(-2 + -1x) = 15 (-9 + -3x) + -6(-2 + -1x) = 15 -9 + -3x + (-2 * -6 + -1x * -6) = 15 -9 + -3x + (12 + 6x) = 15 Reorder the terms: -9 + 12 + -3x + 6x = 15 Combine like terms: -9 + 12 = 3 3 + -3x + 6x = 15 Combine like terms: -3x + 6x = 3x 3 + 3x = 15 Solving 3 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 15 + -3 3x = 15 + -3 Combine like terms: 15 + -3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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