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Simplifying 2x + -52 = 109 + 9x Reorder the terms: -52 + 2x = 109 + 9x Solving -52 + 2x = 109 + 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. -52 + 2x + -9x = 109 + 9x + -9x Combine like terms: 2x + -9x = -7x -52 + -7x = 109 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + -7x = 109 + 0 -52 + -7x = 109 Add '52' to each side of the equation. -52 + 52 + -7x = 109 + 52 Combine like terms: -52 + 52 = 0 0 + -7x = 109 + 52 -7x = 109 + 52 Combine like terms: 109 + 52 = 161 -7x = 161 Divide each side by '-7'. x = -23 Simplifying x = -23
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