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Simplifying (3x + 31) = (5x + -27) Reorder the terms: (31 + 3x) = (5x + -27) Remove parenthesis around (31 + 3x) 31 + 3x = (5x + -27) Reorder the terms: 31 + 3x = (-27 + 5x) Remove parenthesis around (-27 + 5x) 31 + 3x = -27 + 5x Solving 31 + 3x = -27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 31 + 3x + -5x = -27 + 5x + -5x Combine like terms: 3x + -5x = -2x 31 + -2x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -2x = -27 + 0 31 + -2x = -27 Add '-31' to each side of the equation. 31 + -31 + -2x = -27 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = -27 + -31 -2x = -27 + -31 Combine like terms: -27 + -31 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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