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Simplifying -1(4x + -4) = 6x + -2 + 2(x + 1) Reorder the terms: -1(-4 + 4x) = 6x + -2 + 2(x + 1) (-4 * -1 + 4x * -1) = 6x + -2 + 2(x + 1) (4 + -4x) = 6x + -2 + 2(x + 1) Reorder the terms: 4 + -4x = 6x + -2 + 2(1 + x) 4 + -4x = 6x + -2 + (1 * 2 + x * 2) 4 + -4x = 6x + -2 + (2 + 2x) Reorder the terms: 4 + -4x = -2 + 2 + 6x + 2x Combine like terms: -2 + 2 = 0 4 + -4x = 0 + 6x + 2x 4 + -4x = 6x + 2x Combine like terms: 6x + 2x = 8x 4 + -4x = 8x Solving 4 + -4x = 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. 4 + -4x + -8x = 8x + -8x Combine like terms: -4x + -8x = -12x 4 + -12x = 8x + -8x Combine like terms: 8x + -8x = 0 4 + -12x = 0 Add '-4' to each side of the equation. 4 + -4 + -12x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 0 + -4 -12x = 0 + -4 Combine like terms: 0 + -4 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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