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Simplifying x + (x + 6) + (x + 6 + 3) = 45 Reorder the terms: x + (6 + x) + (x + 6 + 3) = 45 Remove parenthesis around (6 + x) x + 6 + x + (x + 6 + 3) = 45 Reorder the terms: x + 6 + x + (6 + 3 + x) = 45 Combine like terms: 6 + 3 = 9 x + 6 + x + (9 + x) = 45 Remove parenthesis around (9 + x) x + 6 + x + 9 + x = 45 Reorder the terms: 6 + 9 + x + x + x = 45 Combine like terms: 6 + 9 = 15 15 + x + x + x = 45 Combine like terms: x + x = 2x 15 + 2x + x = 45 Combine like terms: 2x + x = 3x 15 + 3x = 45 Solving 15 + 3x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 45 + -15 3x = 45 + -15 Combine like terms: 45 + -15 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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