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Simplifying 9(12 + x) + -4(x + 1) = 5(23 + -2x) + 9x + -9 (12 * 9 + x * 9) + -4(x + 1) = 5(23 + -2x) + 9x + -9 (108 + 9x) + -4(x + 1) = 5(23 + -2x) + 9x + -9 Reorder the terms: 108 + 9x + -4(1 + x) = 5(23 + -2x) + 9x + -9 108 + 9x + (1 * -4 + x * -4) = 5(23 + -2x) + 9x + -9 108 + 9x + (-4 + -4x) = 5(23 + -2x) + 9x + -9 Reorder the terms: 108 + -4 + 9x + -4x = 5(23 + -2x) + 9x + -9 Combine like terms: 108 + -4 = 104 104 + 9x + -4x = 5(23 + -2x) + 9x + -9 Combine like terms: 9x + -4x = 5x 104 + 5x = 5(23 + -2x) + 9x + -9 104 + 5x = (23 * 5 + -2x * 5) + 9x + -9 104 + 5x = (115 + -10x) + 9x + -9 Reorder the terms: 104 + 5x = 115 + -9 + -10x + 9x Combine like terms: 115 + -9 = 106 104 + 5x = 106 + -10x + 9x Combine like terms: -10x + 9x = -1x 104 + 5x = 106 + -1x Solving 104 + 5x = 106 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 104 + 5x + x = 106 + -1x + x Combine like terms: 5x + x = 6x 104 + 6x = 106 + -1x + x Combine like terms: -1x + x = 0 104 + 6x = 106 + 0 104 + 6x = 106 Add '-104' to each side of the equation. 104 + -104 + 6x = 106 + -104 Combine like terms: 104 + -104 = 0 0 + 6x = 106 + -104 6x = 106 + -104 Combine like terms: 106 + -104 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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