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Simplifying (-5x + 49) + (7x + 31) = 90 Reorder the terms: (49 + -5x) + (7x + 31) = 90 Remove parenthesis around (49 + -5x) 49 + -5x + (7x + 31) = 90 Reorder the terms: 49 + -5x + (31 + 7x) = 90 Remove parenthesis around (31 + 7x) 49 + -5x + 31 + 7x = 90 Reorder the terms: 49 + 31 + -5x + 7x = 90 Combine like terms: 49 + 31 = 80 80 + -5x + 7x = 90 Combine like terms: -5x + 7x = 2x 80 + 2x = 90 Solving 80 + 2x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 2x = 90 + -80 Combine like terms: 80 + -80 = 0 0 + 2x = 90 + -80 2x = 90 + -80 Combine like terms: 90 + -80 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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