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Simplifying 9(12 + -1x) + -5x + 23 = 6(x + -2) + 3 (12 * 9 + -1x * 9) + -5x + 23 = 6(x + -2) + 3 (108 + -9x) + -5x + 23 = 6(x + -2) + 3 Reorder the terms: 108 + 23 + -9x + -5x = 6(x + -2) + 3 Combine like terms: 108 + 23 = 131 131 + -9x + -5x = 6(x + -2) + 3 Combine like terms: -9x + -5x = -14x 131 + -14x = 6(x + -2) + 3 Reorder the terms: 131 + -14x = 6(-2 + x) + 3 131 + -14x = (-2 * 6 + x * 6) + 3 131 + -14x = (-12 + 6x) + 3 Reorder the terms: 131 + -14x = -12 + 3 + 6x Combine like terms: -12 + 3 = -9 131 + -14x = -9 + 6x Solving 131 + -14x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 131 + -14x + -6x = -9 + 6x + -6x Combine like terms: -14x + -6x = -20x 131 + -20x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 131 + -20x = -9 + 0 131 + -20x = -9 Add '-131' to each side of the equation. 131 + -131 + -20x = -9 + -131 Combine like terms: 131 + -131 = 0 0 + -20x = -9 + -131 -20x = -9 + -131 Combine like terms: -9 + -131 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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