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Simplifying 5x + 2(6x + -18) = 117 Reorder the terms: 5x + 2(-18 + 6x) = 117 5x + (-18 * 2 + 6x * 2) = 117 5x + (-36 + 12x) = 117 Reorder the terms: -36 + 5x + 12x = 117 Combine like terms: 5x + 12x = 17x -36 + 17x = 117 Solving -36 + 17x = 117 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 + 17x = 117 + 36 Combine like terms: -36 + 36 = 0 0 + 17x = 117 + 36 17x = 117 + 36 Combine like terms: 117 + 36 = 153 17x = 153 Divide each side by '17'. x = 9 Simplifying x = 9
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