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Simplifying 9(2x + -1) + -2(3x + 4) = 15 Reorder the terms: 9(-1 + 2x) + -2(3x + 4) = 15 (-1 * 9 + 2x * 9) + -2(3x + 4) = 15 (-9 + 18x) + -2(3x + 4) = 15 Reorder the terms: -9 + 18x + -2(4 + 3x) = 15 -9 + 18x + (4 * -2 + 3x * -2) = 15 -9 + 18x + (-8 + -6x) = 15 Reorder the terms: -9 + -8 + 18x + -6x = 15 Combine like terms: -9 + -8 = -17 -17 + 18x + -6x = 15 Combine like terms: 18x + -6x = 12x -17 + 12x = 15 Solving -17 + 12x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 12x = 15 + 17 12x = 15 + 17 Combine like terms: 15 + 17 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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