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Simplifying (7x + -41) + (3x + 61) = 90 Reorder the terms: (-41 + 7x) + (3x + 61) = 90 Remove parenthesis around (-41 + 7x) -41 + 7x + (3x + 61) = 90 Reorder the terms: -41 + 7x + (61 + 3x) = 90 Remove parenthesis around (61 + 3x) -41 + 7x + 61 + 3x = 90 Reorder the terms: -41 + 61 + 7x + 3x = 90 Combine like terms: -41 + 61 = 20 20 + 7x + 3x = 90 Combine like terms: 7x + 3x = 10x 20 + 10x = 90 Solving 20 + 10x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 90 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 90 + -20 10x = 90 + -20 Combine like terms: 90 + -20 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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