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Simplifying 8x + -117 = -9x + 138 Reorder the terms: -117 + 8x = -9x + 138 Reorder the terms: -117 + 8x = 138 + -9x Solving -117 + 8x = 138 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -117 + 8x + 9x = 138 + -9x + 9x Combine like terms: 8x + 9x = 17x -117 + 17x = 138 + -9x + 9x Combine like terms: -9x + 9x = 0 -117 + 17x = 138 + 0 -117 + 17x = 138 Add '117' to each side of the equation. -117 + 117 + 17x = 138 + 117 Combine like terms: -117 + 117 = 0 0 + 17x = 138 + 117 17x = 138 + 117 Combine like terms: 138 + 117 = 255 17x = 255 Divide each side by '17'. x = 15 Simplifying x = 15
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