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Simplifying (2x + -7) + (7x + 10) = 84 Reorder the terms: (-7 + 2x) + (7x + 10) = 84 Remove parenthesis around (-7 + 2x) -7 + 2x + (7x + 10) = 84 Reorder the terms: -7 + 2x + (10 + 7x) = 84 Remove parenthesis around (10 + 7x) -7 + 2x + 10 + 7x = 84 Reorder the terms: -7 + 10 + 2x + 7x = 84 Combine like terms: -7 + 10 = 3 3 + 2x + 7x = 84 Combine like terms: 2x + 7x = 9x 3 + 9x = 84 Solving 3 + 9x = 84 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 + 9x = 84 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 84 + -3 9x = 84 + -3 Combine like terms: 84 + -3 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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