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Simplifying 3(3x + -9) + -2 = 3(x + -2) + 31 Reorder the terms: 3(-9 + 3x) + -2 = 3(x + -2) + 31 (-9 * 3 + 3x * 3) + -2 = 3(x + -2) + 31 (-27 + 9x) + -2 = 3(x + -2) + 31 Reorder the terms: -27 + -2 + 9x = 3(x + -2) + 31 Combine like terms: -27 + -2 = -29 -29 + 9x = 3(x + -2) + 31 Reorder the terms: -29 + 9x = 3(-2 + x) + 31 -29 + 9x = (-2 * 3 + x * 3) + 31 -29 + 9x = (-6 + 3x) + 31 Reorder the terms: -29 + 9x = -6 + 31 + 3x Combine like terms: -6 + 31 = 25 -29 + 9x = 25 + 3x Solving -29 + 9x = 25 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + 9x + -3x = 25 + 3x + -3x Combine like terms: 9x + -3x = 6x -29 + 6x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 6x = 25 + 0 -29 + 6x = 25 Add '29' to each side of the equation. -29 + 29 + 6x = 25 + 29 Combine like terms: -29 + 29 = 0 0 + 6x = 25 + 29 6x = 25 + 29 Combine like terms: 25 + 29 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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