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Simplifying 2(1 + -2x) = 2(2x + 9) (1 * 2 + -2x * 2) = 2(2x + 9) (2 + -4x) = 2(2x + 9) Reorder the terms: 2 + -4x = 2(9 + 2x) 2 + -4x = (9 * 2 + 2x * 2) 2 + -4x = (18 + 4x) Solving 2 + -4x = 18 + 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. 2 + -4x + -4x = 18 + 4x + -4x Combine like terms: -4x + -4x = -8x 2 + -8x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -8x = 18 + 0 2 + -8x = 18 Add '-2' to each side of the equation. 2 + -2 + -8x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 18 + -2 -8x = 18 + -2 Combine like terms: 18 + -2 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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