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Simplifying 3(x + 9) + -1(2x + -4) = 9 Reorder the terms: 3(9 + x) + -1(2x + -4) = 9 (9 * 3 + x * 3) + -1(2x + -4) = 9 (27 + 3x) + -1(2x + -4) = 9 Reorder the terms: 27 + 3x + -1(-4 + 2x) = 9 27 + 3x + (-4 * -1 + 2x * -1) = 9 27 + 3x + (4 + -2x) = 9 Reorder the terms: 27 + 4 + 3x + -2x = 9 Combine like terms: 27 + 4 = 31 31 + 3x + -2x = 9 Combine like terms: 3x + -2x = 1x 31 + 1x = 9 Solving 31 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 9 + -31 1x = 9 + -31 Combine like terms: 9 + -31 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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