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Simplifying 3(3 + -3x) + -1 = 5(2 + -1x) + -5x + -2 (3 * 3 + -3x * 3) + -1 = 5(2 + -1x) + -5x + -2 (9 + -9x) + -1 = 5(2 + -1x) + -5x + -2 Reorder the terms: 9 + -1 + -9x = 5(2 + -1x) + -5x + -2 Combine like terms: 9 + -1 = 8 8 + -9x = 5(2 + -1x) + -5x + -2 8 + -9x = (2 * 5 + -1x * 5) + -5x + -2 8 + -9x = (10 + -5x) + -5x + -2 Reorder the terms: 8 + -9x = 10 + -2 + -5x + -5x Combine like terms: 10 + -2 = 8 8 + -9x = 8 + -5x + -5x Combine like terms: -5x + -5x = -10x 8 + -9x = 8 + -10x Add '-8' to each side of the equation. 8 + -8 + -9x = 8 + -8 + -10x Combine like terms: 8 + -8 = 0 0 + -9x = 8 + -8 + -10x -9x = 8 + -8 + -10x Combine like terms: 8 + -8 = 0 -9x = 0 + -10x -9x = -10x Solving -9x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9x + 10x = -10x + 10x Combine like terms: -9x + 10x = 1x 1x = -10x + 10x Combine like terms: -10x + 10x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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