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Simplifying 4 + -2(x + -4) = 4(2 + -2x) Reorder the terms: 4 + -2(-4 + x) = 4(2 + -2x) 4 + (-4 * -2 + x * -2) = 4(2 + -2x) 4 + (8 + -2x) = 4(2 + -2x) Combine like terms: 4 + 8 = 12 12 + -2x = 4(2 + -2x) 12 + -2x = (2 * 4 + -2x * 4) 12 + -2x = (8 + -8x) Solving 12 + -2x = 8 + -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. 12 + -2x + 8x = 8 + -8x + 8x Combine like terms: -2x + 8x = 6x 12 + 6x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 6x = 8 + 0 12 + 6x = 8 Add '-12' to each side of the equation. 12 + -12 + 6x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 8 + -12 6x = 8 + -12 Combine like terms: 8 + -12 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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