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Simplifying (3x + -13) = (2x + 31) Reorder the terms: (-13 + 3x) = (2x + 31) Remove parenthesis around (-13 + 3x) -13 + 3x = (2x + 31) Reorder the terms: -13 + 3x = (31 + 2x) Remove parenthesis around (31 + 2x) -13 + 3x = 31 + 2x Solving -13 + 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. -13 + 3x + -2x = 31 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = 31 + 0 -13 + 1x = 31 Add '13' to each side of the equation. -13 + 13 + 1x = 31 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 31 + 13 1x = 31 + 13 Combine like terms: 31 + 13 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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