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Simplifying 3(2x + -9) + -2 = 3(x + -2) + -2 Reorder the terms: 3(-9 + 2x) + -2 = 3(x + -2) + -2 (-9 * 3 + 2x * 3) + -2 = 3(x + -2) + -2 (-27 + 6x) + -2 = 3(x + -2) + -2 Reorder the terms: -27 + -2 + 6x = 3(x + -2) + -2 Combine like terms: -27 + -2 = -29 -29 + 6x = 3(x + -2) + -2 Reorder the terms: -29 + 6x = 3(-2 + x) + -2 -29 + 6x = (-2 * 3 + x * 3) + -2 -29 + 6x = (-6 + 3x) + -2 Reorder the terms: -29 + 6x = -6 + -2 + 3x Combine like terms: -6 + -2 = -8 -29 + 6x = -8 + 3x Solving -29 + 6x = -8 + 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 + 6x + -3x = -8 + 3x + -3x Combine like terms: 6x + -3x = 3x -29 + 3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 3x = -8 + 0 -29 + 3x = -8 Add '29' to each side of the equation. -29 + 29 + 3x = -8 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = -8 + 29 3x = -8 + 29 Combine like terms: -8 + 29 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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