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Simplifying 3(x + -9) = 2(x + 7) Reorder the terms: 3(-9 + x) = 2(x + 7) (-9 * 3 + x * 3) = 2(x + 7) (-27 + 3x) = 2(x + 7) Reorder the terms: -27 + 3x = 2(7 + x) -27 + 3x = (7 * 2 + x * 2) -27 + 3x = (14 + 2x) Solving -27 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x = 14 + 0 -27 + 1x = 14 Add '27' to each side of the equation. -27 + 27 + 1x = 14 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 14 + 27 1x = 14 + 27 Combine like terms: 14 + 27 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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