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Simplifying (x + -7) + (3x + 10) = 31 Reorder the terms: (-7 + x) + (3x + 10) = 31 Remove parenthesis around (-7 + x) -7 + x + (3x + 10) = 31 Reorder the terms: -7 + x + (10 + 3x) = 31 Remove parenthesis around (10 + 3x) -7 + x + 10 + 3x = 31 Reorder the terms: -7 + 10 + x + 3x = 31 Combine like terms: -7 + 10 = 3 3 + x + 3x = 31 Combine like terms: x + 3x = 4x 3 + 4x = 31 Solving 3 + 4x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 31 + -3 4x = 31 + -3 Combine like terms: 31 + -3 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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