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Simplifying 3(x + 3) = 2 + -1(1 + -2x) Reorder the terms: 3(3 + x) = 2 + -1(1 + -2x) (3 * 3 + x * 3) = 2 + -1(1 + -2x) (9 + 3x) = 2 + -1(1 + -2x) 9 + 3x = 2 + (1 * -1 + -2x * -1) 9 + 3x = 2 + (-1 + 2x) Combine like terms: 2 + -1 = 1 9 + 3x = 1 + 2x Solving 9 + 3x = 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. 9 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 1 + 0 9 + 1x = 1 Add '-9' to each side of the equation. 9 + -9 + 1x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 1 + -9 1x = 1 + -9 Combine like terms: 1 + -9 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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