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Simplifying 3(-2x + 2) = 4(12 + -5x) Reorder the terms: 3(2 + -2x) = 4(12 + -5x) (2 * 3 + -2x * 3) = 4(12 + -5x) (6 + -6x) = 4(12 + -5x) 6 + -6x = (12 * 4 + -5x * 4) 6 + -6x = (48 + -20x) Solving 6 + -6x = 48 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + -6x + 20x = 48 + -20x + 20x Combine like terms: -6x + 20x = 14x 6 + 14x = 48 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 14x = 48 + 0 6 + 14x = 48 Add '-6' to each side of the equation. 6 + -6 + 14x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 48 + -6 14x = 48 + -6 Combine like terms: 48 + -6 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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