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Simplifying 5x + -138 = 117 + -12x Reorder the terms: -138 + 5x = 117 + -12x Solving -138 + 5x = 117 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -138 + 5x + 12x = 117 + -12x + 12x Combine like terms: 5x + 12x = 17x -138 + 17x = 117 + -12x + 12x Combine like terms: -12x + 12x = 0 -138 + 17x = 117 + 0 -138 + 17x = 117 Add '138' to each side of the equation. -138 + 138 + 17x = 117 + 138 Combine like terms: -138 + 138 = 0 0 + 17x = 117 + 138 17x = 117 + 138 Combine like terms: 117 + 138 = 255 17x = 255 Divide each side by '17'. x = 15 Simplifying x = 15
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