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Simplifying 5x + 9 = 7x + -17 Reorder the terms: 9 + 5x = 7x + -17 Reorder the terms: 9 + 5x = -17 + 7x Solving 9 + 5x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 5x + -7x = -17 + 7x + -7x Combine like terms: 5x + -7x = -2x 9 + -2x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -2x = -17 + 0 9 + -2x = -17 Add '-9' to each side of the equation. 9 + -9 + -2x = -17 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -17 + -9 -2x = -17 + -9 Combine like terms: -17 + -9 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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