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Simplifying -4(2x + -2) = 3(x + 1) Reorder the terms: -4(-2 + 2x) = 3(x + 1) (-2 * -4 + 2x * -4) = 3(x + 1) (8 + -8x) = 3(x + 1) Reorder the terms: 8 + -8x = 3(1 + x) 8 + -8x = (1 * 3 + x * 3) 8 + -8x = (3 + 3x) Solving 8 + -8x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -8x + -3x = 3 + 3x + -3x Combine like terms: -8x + -3x = -11x 8 + -11x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -11x = 3 + 0 8 + -11x = 3 Add '-8' to each side of the equation. 8 + -8 + -11x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 3 + -8 -11x = 3 + -8 Combine like terms: 3 + -8 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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