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Simplifying 11x + -9 + -6x = -2(x + -3) + -12(2x + 9) Reorder the terms: -9 + 11x + -6x = -2(x + -3) + -12(2x + 9) Combine like terms: 11x + -6x = 5x -9 + 5x = -2(x + -3) + -12(2x + 9) Reorder the terms: -9 + 5x = -2(-3 + x) + -12(2x + 9) -9 + 5x = (-3 * -2 + x * -2) + -12(2x + 9) -9 + 5x = (6 + -2x) + -12(2x + 9) Reorder the terms: -9 + 5x = 6 + -2x + -12(9 + 2x) -9 + 5x = 6 + -2x + (9 * -12 + 2x * -12) -9 + 5x = 6 + -2x + (-108 + -24x) Reorder the terms: -9 + 5x = 6 + -108 + -2x + -24x Combine like terms: 6 + -108 = -102 -9 + 5x = -102 + -2x + -24x Combine like terms: -2x + -24x = -26x -9 + 5x = -102 + -26x Solving -9 + 5x = -102 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -9 + 5x + 26x = -102 + -26x + 26x Combine like terms: 5x + 26x = 31x -9 + 31x = -102 + -26x + 26x Combine like terms: -26x + 26x = 0 -9 + 31x = -102 + 0 -9 + 31x = -102 Add '9' to each side of the equation. -9 + 9 + 31x = -102 + 9 Combine like terms: -9 + 9 = 0 0 + 31x = -102 + 9 31x = -102 + 9 Combine like terms: -102 + 9 = -93 31x = -93 Divide each side by '31'. x = -3 Simplifying x = -3
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