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Simplifying (x + 12) + (x + 17) = 21 Reorder the terms: (12 + x) + (x + 17) = 21 Remove parenthesis around (12 + x) 12 + x + (x + 17) = 21 Reorder the terms: 12 + x + (17 + x) = 21 Remove parenthesis around (17 + x) 12 + x + 17 + x = 21 Reorder the terms: 12 + 17 + x + x = 21 Combine like terms: 12 + 17 = 29 29 + x + x = 21 Combine like terms: x + x = 2x 29 + 2x = 21 Solving 29 + 2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 2x = 21 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 21 + -29 2x = 21 + -29 Combine like terms: 21 + -29 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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