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Simplifying 4(3x + -2) = 2(3 + 5x) Reorder the terms: 4(-2 + 3x) = 2(3 + 5x) (-2 * 4 + 3x * 4) = 2(3 + 5x) (-8 + 12x) = 2(3 + 5x) -8 + 12x = (3 * 2 + 5x * 2) -8 + 12x = (6 + 10x) Solving -8 + 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. -8 + 12x + -10x = 6 + 10x + -10x Combine like terms: 12x + -10x = 2x -8 + 2x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 2x = 6 + 0 -8 + 2x = 6 Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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