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Simplifying 9(2x + -1) + -3x = 3(12 + x) Reorder the terms: 9(-1 + 2x) + -3x = 3(12 + x) (-1 * 9 + 2x * 9) + -3x = 3(12 + x) (-9 + 18x) + -3x = 3(12 + x) Combine like terms: 18x + -3x = 15x -9 + 15x = 3(12 + x) -9 + 15x = (12 * 3 + x * 3) -9 + 15x = (36 + 3x) Solving -9 + 15x = 36 + 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. -9 + 15x + -3x = 36 + 3x + -3x Combine like terms: 15x + -3x = 12x -9 + 12x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 12x = 36 + 0 -9 + 12x = 36 Add '9' to each side of the equation. -9 + 9 + 12x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 36 + 9 12x = 36 + 9 Combine like terms: 36 + 9 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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