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Simplifying 3(4x + -1) = 2(5x + 4) Reorder the terms: 3(-1 + 4x) = 2(5x + 4) (-1 * 3 + 4x * 3) = 2(5x + 4) (-3 + 12x) = 2(5x + 4) Reorder the terms: -3 + 12x = 2(4 + 5x) -3 + 12x = (4 * 2 + 5x * 2) -3 + 12x = (8 + 10x) Solving -3 + 12x = 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. -3 + 12x + -10x = 8 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = 8 + 0 -3 + 2x = 8 Add '3' to each side of the equation. -3 + 3 + 2x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 8 + 3 2x = 8 + 3 Combine like terms: 8 + 3 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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