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Simplifying 3(x + (x + 1) + (x + 2)) = 72 Reorder the terms: 3(x + (1 + x) + (x + 2)) = 72 Remove parenthesis around (1 + x) 3(x + 1 + x + (x + 2)) = 72 Reorder the terms: 3(x + 1 + x + (2 + x)) = 72 Remove parenthesis around (2 + x) 3(x + 1 + x + 2 + x) = 72 Reorder the terms: 3(1 + 2 + x + x + x) = 72 Combine like terms: 1 + 2 = 3 3(3 + x + x + x) = 72 Combine like terms: x + x = 2x 3(3 + 2x + x) = 72 Combine like terms: 2x + x = 3x 3(3 + 3x) = 72 (3 * 3 + 3x * 3) = 72 (9 + 9x) = 72 Solving 9 + 9x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9x = 72 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 72 + -9 9x = 72 + -9 Combine like terms: 72 + -9 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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