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