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Simplifying 2(1 + x) = -1(2x + 1) (1 * 2 + x * 2) = -1(2x + 1) (2 + 2x) = -1(2x + 1) Reorder the terms: 2 + 2x = -1(1 + 2x) 2 + 2x = (1 * -1 + 2x * -1) 2 + 2x = (-1 + -2x) Solving 2 + 2x = -1 + -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. 2 + 2x + 2x = -1 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = -1 + 0 2 + 4x = -1 Add '-2' to each side of the equation. 2 + -2 + 4x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -1 + -2 4x = -1 + -2 Combine like terms: -1 + -2 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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