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Simplifying (2x + 7) + (6x + 5) = 84 Reorder the terms: (7 + 2x) + (6x + 5) = 84 Remove parenthesis around (7 + 2x) 7 + 2x + (6x + 5) = 84 Reorder the terms: 7 + 2x + (5 + 6x) = 84 Remove parenthesis around (5 + 6x) 7 + 2x + 5 + 6x = 84 Reorder the terms: 7 + 5 + 2x + 6x = 84 Combine like terms: 7 + 5 = 12 12 + 2x + 6x = 84 Combine like terms: 2x + 6x = 8x 12 + 8x = 84 Solving 12 + 8x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 84 + -12 8x = 84 + -12 Combine like terms: 84 + -12 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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