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Simplifying 101 + -5x = 9x + 17 Reorder the terms: 101 + -5x = 17 + 9x Solving 101 + -5x = 17 + 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. 101 + -5x + -9x = 17 + 9x + -9x Combine like terms: -5x + -9x = -14x 101 + -14x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 101 + -14x = 17 + 0 101 + -14x = 17 Add '-101' to each side of the equation. 101 + -101 + -14x = 17 + -101 Combine like terms: 101 + -101 = 0 0 + -14x = 17 + -101 -14x = 17 + -101 Combine like terms: 17 + -101 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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