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Simplifying 3(4 + -3x) = 2(5x + 4) (4 * 3 + -3x * 3) = 2(5x + 4) (12 + -9x) = 2(5x + 4) Reorder the terms: 12 + -9x = 2(4 + 5x) 12 + -9x = (4 * 2 + 5x * 2) 12 + -9x = (8 + 10x) Solving 12 + -9x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -9x + -10x = 8 + 10x + -10x Combine like terms: -9x + -10x = -19x 12 + -19x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -19x = 8 + 0 12 + -19x = 8 Add '-12' to each side of the equation. 12 + -12 + -19x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = 8 + -12 -19x = 8 + -12 Combine like terms: 8 + -12 = -4 -19x = -4 Divide each side by '-19'. x = 0.2105263158 Simplifying x = 0.2105263158
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