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