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Simplifying (-5x + 45) + (7x + 31) = 90 Reorder the terms: (45 + -5x) + (7x + 31) = 90 Remove parenthesis around (45 + -5x) 45 + -5x + (7x + 31) = 90 Reorder the terms: 45 + -5x + (31 + 7x) = 90 Remove parenthesis around (31 + 7x) 45 + -5x + 31 + 7x = 90 Reorder the terms: 45 + 31 + -5x + 7x = 90 Combine like terms: 45 + 31 = 76 76 + -5x + 7x = 90 Combine like terms: -5x + 7x = 2x 76 + 2x = 90 Solving 76 + 2x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 2x = 90 + -76 Combine like terms: 76 + -76 = 0 0 + 2x = 90 + -76 2x = 90 + -76 Combine like terms: 90 + -76 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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