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Simplifying (x) + (3x + 5) + (2(3x + 5)) = 165 x + (3x + 5) + (2(3x + 5)) = 165 Reorder the terms: x + (5 + 3x) + (2(3x + 5)) = 165 Remove parenthesis around (5 + 3x) x + 5 + 3x + (2(3x + 5)) = 165 Reorder the terms: x + 5 + 3x + (2(5 + 3x)) = 165 x + 5 + 3x + ((5 * 2 + 3x * 2)) = 165 x + 5 + 3x + ((10 + 6x)) = 165 x + 5 + 3x + (10 + 6x) = 165 Remove parenthesis around (10 + 6x) x + 5 + 3x + 10 + 6x = 165 Reorder the terms: 5 + 10 + x + 3x + 6x = 165 Combine like terms: 5 + 10 = 15 15 + x + 3x + 6x = 165 Combine like terms: x + 3x = 4x 15 + 4x + 6x = 165 Combine like terms: 4x + 6x = 10x 15 + 10x = 165 Solving 15 + 10x = 165 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 + 10x = 165 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 165 + -15 10x = 165 + -15 Combine like terms: 165 + -15 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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