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Simplifying 3(2x + -1) = 9(x + 2) + -5 Reorder the terms: 3(-1 + 2x) = 9(x + 2) + -5 (-1 * 3 + 2x * 3) = 9(x + 2) + -5 (-3 + 6x) = 9(x + 2) + -5 Reorder the terms: -3 + 6x = 9(2 + x) + -5 -3 + 6x = (2 * 9 + x * 9) + -5 -3 + 6x = (18 + 9x) + -5 Reorder the terms: -3 + 6x = 18 + -5 + 9x Combine like terms: 18 + -5 = 13 -3 + 6x = 13 + 9x Solving -3 + 6x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 6x + -9x = 13 + 9x + -9x Combine like terms: 6x + -9x = -3x -3 + -3x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -3x = 13 + 0 -3 + -3x = 13 Add '3' to each side of the equation. -3 + 3 + -3x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 13 + 3 -3x = 13 + 3 Combine like terms: 13 + 3 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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