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Simplifying 4(2x + 3) + -9x = -3(x + -1) + 31 Reorder the terms: 4(3 + 2x) + -9x = -3(x + -1) + 31 (3 * 4 + 2x * 4) + -9x = -3(x + -1) + 31 (12 + 8x) + -9x = -3(x + -1) + 31 Combine like terms: 8x + -9x = -1x 12 + -1x = -3(x + -1) + 31 Reorder the terms: 12 + -1x = -3(-1 + x) + 31 12 + -1x = (-1 * -3 + x * -3) + 31 12 + -1x = (3 + -3x) + 31 Reorder the terms: 12 + -1x = 3 + 31 + -3x Combine like terms: 3 + 31 = 34 12 + -1x = 34 + -3x Solving 12 + -1x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -1x + 3x = 34 + -3x + 3x Combine like terms: -1x + 3x = 2x 12 + 2x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 2x = 34 + 0 12 + 2x = 34 Add '-12' to each side of the equation. 12 + -12 + 2x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 34 + -12 2x = 34 + -12 Combine like terms: 34 + -12 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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