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Simplifying (3x + 7) + (5x + -2) = 61 Reorder the terms: (7 + 3x) + (5x + -2) = 61 Remove parenthesis around (7 + 3x) 7 + 3x + (5x + -2) = 61 Reorder the terms: 7 + 3x + (-2 + 5x) = 61 Remove parenthesis around (-2 + 5x) 7 + 3x + -2 + 5x = 61 Reorder the terms: 7 + -2 + 3x + 5x = 61 Combine like terms: 7 + -2 = 5 5 + 3x + 5x = 61 Combine like terms: 3x + 5x = 8x 5 + 8x = 61 Solving 5 + 8x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 61 + -5 8x = 61 + -5 Combine like terms: 61 + -5 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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