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Simplifying 2(4 + -5x) = 3(3x + 1) (4 * 2 + -5x * 2) = 3(3x + 1) (8 + -10x) = 3(3x + 1) Reorder the terms: 8 + -10x = 3(1 + 3x) 8 + -10x = (1 * 3 + 3x * 3) 8 + -10x = (3 + 9x) Solving 8 + -10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + -10x + -9x = 3 + 9x + -9x Combine like terms: -10x + -9x = -19x 8 + -19x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -19x = 3 + 0 8 + -19x = 3 Add '-8' to each side of the equation. 8 + -8 + -19x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -19x = 3 + -8 -19x = 3 + -8 Combine like terms: 3 + -8 = -5 -19x = -5 Divide each side by '-19'. x = 0.2631578947 Simplifying x = 0.2631578947
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