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Simplifying 3(4x + -2) = 2(5x + 3) Reorder the terms: 3(-2 + 4x) = 2(5x + 3) (-2 * 3 + 4x * 3) = 2(5x + 3) (-6 + 12x) = 2(5x + 3) Reorder the terms: -6 + 12x = 2(3 + 5x) -6 + 12x = (3 * 2 + 5x * 2) -6 + 12x = (6 + 10x) Solving -6 + 12x = 6 + 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. -6 + 12x + -10x = 6 + 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = 6 + 0 -6 + 2x = 6 Add '6' to each side of the equation. -6 + 6 + 2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 6 + 6 2x = 6 + 6 Combine like terms: 6 + 6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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