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Simplifying 3(2 + -3x) + -4(2x + -5) = 12 (2 * 3 + -3x * 3) + -4(2x + -5) = 12 (6 + -9x) + -4(2x + -5) = 12 Reorder the terms: 6 + -9x + -4(-5 + 2x) = 12 6 + -9x + (-5 * -4 + 2x * -4) = 12 6 + -9x + (20 + -8x) = 12 Reorder the terms: 6 + 20 + -9x + -8x = 12 Combine like terms: 6 + 20 = 26 26 + -9x + -8x = 12 Combine like terms: -9x + -8x = -17x 26 + -17x = 12 Solving 26 + -17x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -17x = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -17x = 12 + -26 -17x = 12 + -26 Combine like terms: 12 + -26 = -14 -17x = -14 Divide each side by '-17'. x = 0.8235294118 Simplifying x = 0.8235294118
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