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Simplifying 2(x + 2) = -2(3x + -1) Reorder the terms: 2(2 + x) = -2(3x + -1) (2 * 2 + x * 2) = -2(3x + -1) (4 + 2x) = -2(3x + -1) Reorder the terms: 4 + 2x = -2(-1 + 3x) 4 + 2x = (-1 * -2 + 3x * -2) 4 + 2x = (2 + -6x) Solving 4 + 2x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 2x + 6x = 2 + -6x + 6x Combine like terms: 2x + 6x = 8x 4 + 8x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 8x = 2 + 0 4 + 8x = 2 Add '-4' to each side of the equation. 4 + -4 + 8x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 2 + -4 8x = 2 + -4 Combine like terms: 2 + -4 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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