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Simplifying 31 = (x + 5) + (3x + -2) Reorder the terms: 31 = (5 + x) + (3x + -2) Remove parenthesis around (5 + x) 31 = 5 + x + (3x + -2) Reorder the terms: 31 = 5 + x + (-2 + 3x) Remove parenthesis around (-2 + 3x) 31 = 5 + x + -2 + 3x Reorder the terms: 31 = 5 + -2 + x + 3x Combine like terms: 5 + -2 = 3 31 = 3 + x + 3x Combine like terms: x + 3x = 4x 31 = 3 + 4x Solving 31 = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 31 + -4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -4x = 3 + 0 31 + -4x = 3 Add '-31' to each side of the equation. 31 + -31 + -4x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 3 + -31 -4x = 3 + -31 Combine like terms: 3 + -31 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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