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Simplifying 4(2 + -1(2x + -2)) = 2(4 + -3x) Reorder the terms: 4(2 + -1(-2 + 2x)) = 2(4 + -3x) 4(2 + (-2 * -1 + 2x * -1)) = 2(4 + -3x) 4(2 + (2 + -2x)) = 2(4 + -3x) Combine like terms: 2 + 2 = 4 4(4 + -2x) = 2(4 + -3x) (4 * 4 + -2x * 4) = 2(4 + -3x) (16 + -8x) = 2(4 + -3x) 16 + -8x = (4 * 2 + -3x * 2) 16 + -8x = (8 + -6x) Solving 16 + -8x = 8 + -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. 16 + -8x + 6x = 8 + -6x + 6x Combine like terms: -8x + 6x = -2x 16 + -2x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + -2x = 8 + 0 16 + -2x = 8 Add '-16' to each side of the equation. 16 + -16 + -2x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 8 + -16 -2x = 8 + -16 Combine like terms: 8 + -16 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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