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Simplifying -2 + 3(x + -2) = 5 + 9(1 + -3x) Reorder the terms: -2 + 3(-2 + x) = 5 + 9(1 + -3x) -2 + (-2 * 3 + x * 3) = 5 + 9(1 + -3x) -2 + (-6 + 3x) = 5 + 9(1 + -3x) Combine like terms: -2 + -6 = -8 -8 + 3x = 5 + 9(1 + -3x) -8 + 3x = 5 + (1 * 9 + -3x * 9) -8 + 3x = 5 + (9 + -27x) Combine like terms: 5 + 9 = 14 -8 + 3x = 14 + -27x Solving -8 + 3x = 14 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -8 + 3x + 27x = 14 + -27x + 27x Combine like terms: 3x + 27x = 30x -8 + 30x = 14 + -27x + 27x Combine like terms: -27x + 27x = 0 -8 + 30x = 14 + 0 -8 + 30x = 14 Add '8' to each side of the equation. -8 + 8 + 30x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 30x = 14 + 8 30x = 14 + 8 Combine like terms: 14 + 8 = 22 30x = 22 Divide each side by '30'. x = 0.7333333333 Simplifying x = 0.7333333333
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