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Simplifying -3(x + -2) = 5(-2x + 4) Reorder the terms: -3(-2 + x) = 5(-2x + 4) (-2 * -3 + x * -3) = 5(-2x + 4) (6 + -3x) = 5(-2x + 4) Reorder the terms: 6 + -3x = 5(4 + -2x) 6 + -3x = (4 * 5 + -2x * 5) 6 + -3x = (20 + -10x) Solving 6 + -3x = 20 + -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 + -3x + 10x = 20 + -10x + 10x Combine like terms: -3x + 10x = 7x 6 + 7x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 7x = 20 + 0 6 + 7x = 20 Add '-6' to each side of the equation. 6 + -6 + 7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 20 + -6 7x = 20 + -6 Combine like terms: 20 + -6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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