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Simplifying 4(2x + 2) = -2(x + 2) Reorder the terms: 4(2 + 2x) = -2(x + 2) (2 * 4 + 2x * 4) = -2(x + 2) (8 + 8x) = -2(x + 2) Reorder the terms: 8 + 8x = -2(2 + x) 8 + 8x = (2 * -2 + x * -2) 8 + 8x = (-4 + -2x) Solving 8 + 8x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 8x + 2x = -4 + -2x + 2x Combine like terms: 8x + 2x = 10x 8 + 10x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 10x = -4 + 0 8 + 10x = -4 Add '-8' to each side of the equation. 8 + -8 + 10x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -4 + -8 10x = -4 + -8 Combine like terms: -4 + -8 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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