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Simplifying 5x + 2(6x + -15) = 174 Reorder the terms: 5x + 2(-15 + 6x) = 174 5x + (-15 * 2 + 6x * 2) = 174 5x + (-30 + 12x) = 174 Reorder the terms: -30 + 5x + 12x = 174 Combine like terms: 5x + 12x = 17x -30 + 17x = 174 Solving -30 + 17x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 17x = 174 + 30 Combine like terms: -30 + 30 = 0 0 + 17x = 174 + 30 17x = 174 + 30 Combine like terms: 174 + 30 = 204 17x = 204 Divide each side by '17'. x = 12 Simplifying x = 12
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