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Simplifying 8x + 17 = 117 + -2x Reorder the terms: 17 + 8x = 117 + -2x Solving 17 + 8x = 117 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 8x + 2x = 117 + -2x + 2x Combine like terms: 8x + 2x = 10x 17 + 10x = 117 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 10x = 117 + 0 17 + 10x = 117 Add '-17' to each side of the equation. 17 + -17 + 10x = 117 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 117 + -17 10x = 117 + -17 Combine like terms: 117 + -17 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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