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Simplifying 2(2x + 2) = -4(3x + -1) Reorder the terms: 2(2 + 2x) = -4(3x + -1) (2 * 2 + 2x * 2) = -4(3x + -1) (4 + 4x) = -4(3x + -1) Reorder the terms: 4 + 4x = -4(-1 + 3x) 4 + 4x = (-1 * -4 + 3x * -4) 4 + 4x = (4 + -12x) Add '-4' to each side of the equation. 4 + -4 + 4x = 4 + -4 + -12x Combine like terms: 4 + -4 = 0 0 + 4x = 4 + -4 + -12x 4x = 4 + -4 + -12x Combine like terms: 4 + -4 = 0 4x = 0 + -12x 4x = -12x Solving 4x = -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. 4x + 12x = -12x + 12x Combine like terms: 4x + 12x = 16x 16x = -12x + 12x Combine like terms: -12x + 12x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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