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Simplifying 4(3x + -2) = 2(5x + 6) Reorder the terms: 4(-2 + 3x) = 2(5x + 6) (-2 * 4 + 3x * 4) = 2(5x + 6) (-8 + 12x) = 2(5x + 6) Reorder the terms: -8 + 12x = 2(6 + 5x) -8 + 12x = (6 * 2 + 5x * 2) -8 + 12x = (12 + 10x) Solving -8 + 12x = 12 + 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. -8 + 12x + -10x = 12 + 10x + -10x Combine like terms: 12x + -10x = 2x -8 + 2x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 2x = 12 + 0 -8 + 2x = 12 Add '8' to each side of the equation. -8 + 8 + 2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 12 + 8 2x = 12 + 8 Combine like terms: 12 + 8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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