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Simplifying 2(x + -1) = 4x + 8 + -2(-4x + -4) Reorder the terms: 2(-1 + x) = 4x + 8 + -2(-4x + -4) (-1 * 2 + x * 2) = 4x + 8 + -2(-4x + -4) (-2 + 2x) = 4x + 8 + -2(-4x + -4) Reorder the terms: -2 + 2x = 4x + 8 + -2(-4 + -4x) -2 + 2x = 4x + 8 + (-4 * -2 + -4x * -2) -2 + 2x = 4x + 8 + (8 + 8x) Reorder the terms: -2 + 2x = 8 + 8 + 4x + 8x Combine like terms: 8 + 8 = 16 -2 + 2x = 16 + 4x + 8x Combine like terms: 4x + 8x = 12x -2 + 2x = 16 + 12x Solving -2 + 2x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 2x + -12x = 16 + 12x + -12x Combine like terms: 2x + -12x = -10x -2 + -10x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -10x = 16 + 0 -2 + -10x = 16 Add '2' to each side of the equation. -2 + 2 + -10x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 16 + 2 -10x = 16 + 2 Combine like terms: 16 + 2 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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