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Simplifying x + (2x + -15) + 3(x + 17) = 180 Reorder the terms: x + (-15 + 2x) + 3(x + 17) = 180 Remove parenthesis around (-15 + 2x) x + -15 + 2x + 3(x + 17) = 180 Reorder the terms: x + -15 + 2x + 3(17 + x) = 180 x + -15 + 2x + (17 * 3 + x * 3) = 180 x + -15 + 2x + (51 + 3x) = 180 Reorder the terms: -15 + 51 + x + 2x + 3x = 180 Combine like terms: -15 + 51 = 36 36 + x + 2x + 3x = 180 Combine like terms: x + 2x = 3x 36 + 3x + 3x = 180 Combine like terms: 3x + 3x = 6x 36 + 6x = 180 Solving 36 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6x = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 180 + -36 6x = 180 + -36 Combine like terms: 180 + -36 = 144 6x = 144 Divide each side by '6'. x = 24 Simplifying x = 24
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