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Simplifying 3(2 + -2x) = 2(4 + 5x) (2 * 3 + -2x * 3) = 2(4 + 5x) (6 + -6x) = 2(4 + 5x) 6 + -6x = (4 * 2 + 5x * 2) 6 + -6x = (8 + 10x) Solving 6 + -6x = 8 + 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 + -6x + -10x = 8 + 10x + -10x Combine like terms: -6x + -10x = -16x 6 + -16x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -16x = 8 + 0 6 + -16x = 8 Add '-6' to each side of the equation. 6 + -6 + -16x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 8 + -6 -16x = 8 + -6 Combine like terms: 8 + -6 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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