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Simplifying 9(x + 1) + -6(3x + -1) = 5(3 + -2x) Reorder the terms: 9(1 + x) + -6(3x + -1) = 5(3 + -2x) (1 * 9 + x * 9) + -6(3x + -1) = 5(3 + -2x) (9 + 9x) + -6(3x + -1) = 5(3 + -2x) Reorder the terms: 9 + 9x + -6(-1 + 3x) = 5(3 + -2x) 9 + 9x + (-1 * -6 + 3x * -6) = 5(3 + -2x) 9 + 9x + (6 + -18x) = 5(3 + -2x) Reorder the terms: 9 + 6 + 9x + -18x = 5(3 + -2x) Combine like terms: 9 + 6 = 15 15 + 9x + -18x = 5(3 + -2x) Combine like terms: 9x + -18x = -9x 15 + -9x = 5(3 + -2x) 15 + -9x = (3 * 5 + -2x * 5) 15 + -9x = (15 + -10x) Add '-15' to each side of the equation. 15 + -15 + -9x = 15 + -15 + -10x Combine like terms: 15 + -15 = 0 0 + -9x = 15 + -15 + -10x -9x = 15 + -15 + -10x Combine like terms: 15 + -15 = 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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