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Simplifying -4(2x + -2) = 3(2x + 4) Reorder the terms: -4(-2 + 2x) = 3(2x + 4) (-2 * -4 + 2x * -4) = 3(2x + 4) (8 + -8x) = 3(2x + 4) Reorder the terms: 8 + -8x = 3(4 + 2x) 8 + -8x = (4 * 3 + 2x * 3) 8 + -8x = (12 + 6x) Solving 8 + -8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -8x + -6x = 12 + 6x + -6x Combine like terms: -8x + -6x = -14x 8 + -14x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -14x = 12 + 0 8 + -14x = 12 Add '-8' to each side of the equation. 8 + -8 + -14x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 12 + -8 -14x = 12 + -8 Combine like terms: 12 + -8 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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