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Simplifying 3(4x + -1) = 5(2x + 3) Reorder the terms: 3(-1 + 4x) = 5(2x + 3) (-1 * 3 + 4x * 3) = 5(2x + 3) (-3 + 12x) = 5(2x + 3) Reorder the terms: -3 + 12x = 5(3 + 2x) -3 + 12x = (3 * 5 + 2x * 5) -3 + 12x = (15 + 10x) Solving -3 + 12x = 15 + 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 = 15 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = 15 + 0 -3 + 2x = 15 Add '3' to each side of the equation. -3 + 3 + 2x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 15 + 3 2x = 15 + 3 Combine like terms: 15 + 3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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