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Simplifying 2(x + 2) = -2(4x + 2) Reorder the terms: 2(2 + x) = -2(4x + 2) (2 * 2 + x * 2) = -2(4x + 2) (4 + 2x) = -2(4x + 2) Reorder the terms: 4 + 2x = -2(2 + 4x) 4 + 2x = (2 * -2 + 4x * -2) 4 + 2x = (-4 + -8x) Solving 4 + 2x = -4 + -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 + 2x + 8x = -4 + -8x + 8x Combine like terms: 2x + 8x = 10x 4 + 10x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 10x = -4 + 0 4 + 10x = -4 Add '-4' to each side of the equation. 4 + -4 + 10x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -4 + -4 10x = -4 + -4 Combine like terms: -4 + -4 = -8 10x = -8 Divide each side by '10'. x = -0.8 Simplifying x = -0.8
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