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Simplifying 3(3x + -9) + -2 = 3(x + -5) + 22 Reorder the terms: 3(-9 + 3x) + -2 = 3(x + -5) + 22 (-9 * 3 + 3x * 3) + -2 = 3(x + -5) + 22 (-27 + 9x) + -2 = 3(x + -5) + 22 Reorder the terms: -27 + -2 + 9x = 3(x + -5) + 22 Combine like terms: -27 + -2 = -29 -29 + 9x = 3(x + -5) + 22 Reorder the terms: -29 + 9x = 3(-5 + x) + 22 -29 + 9x = (-5 * 3 + x * 3) + 22 -29 + 9x = (-15 + 3x) + 22 Reorder the terms: -29 + 9x = -15 + 22 + 3x Combine like terms: -15 + 22 = 7 -29 + 9x = 7 + 3x Solving -29 + 9x = 7 + 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 = 7 + 3x + -3x Combine like terms: 9x + -3x = 6x -29 + 6x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 6x = 7 + 0 -29 + 6x = 7 Add '29' to each side of the equation. -29 + 29 + 6x = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 6x = 7 + 29 6x = 7 + 29 Combine like terms: 7 + 29 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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