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Simplifying 4(2x + -2) = 2(1 + -4x) Reorder the terms: 4(-2 + 2x) = 2(1 + -4x) (-2 * 4 + 2x * 4) = 2(1 + -4x) (-8 + 8x) = 2(1 + -4x) -8 + 8x = (1 * 2 + -4x * 2) -8 + 8x = (2 + -8x) Solving -8 + 8x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 8x + 8x = 2 + -8x + 8x Combine like terms: 8x + 8x = 16x -8 + 16x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 16x = 2 + 0 -8 + 16x = 2 Add '8' to each side of the equation. -8 + 8 + 16x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 2 + 8 16x = 2 + 8 Combine like terms: 2 + 8 = 10 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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