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Simplifying 2x + 17 = 9x + 52 Reorder the terms: 17 + 2x = 9x + 52 Reorder the terms: 17 + 2x = 52 + 9x Solving 17 + 2x = 52 + 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. 17 + 2x + -9x = 52 + 9x + -9x Combine like terms: 2x + -9x = -7x 17 + -7x = 52 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -7x = 52 + 0 17 + -7x = 52 Add '-17' to each side of the equation. 17 + -17 + -7x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 52 + -17 -7x = 52 + -17 Combine like terms: 52 + -17 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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