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Simplifying (3x + -9) = (2x + 31) Reorder the terms: (-9 + 3x) = (2x + 31) Remove parenthesis around (-9 + 3x) -9 + 3x = (2x + 31) Reorder the terms: -9 + 3x = (31 + 2x) Remove parenthesis around (31 + 2x) -9 + 3x = 31 + 2x Solving -9 + 3x = 31 + 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. -9 + 3x + -2x = 31 + 2x + -2x Combine like terms: 3x + -2x = 1x -9 + 1x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 1x = 31 + 0 -9 + 1x = 31 Add '9' to each side of the equation. -9 + 9 + 1x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 31 + 9 1x = 31 + 9 Combine like terms: 31 + 9 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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