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Simplifying 2x + 52 = 9x + 10 Reorder the terms: 52 + 2x = 9x + 10 Reorder the terms: 52 + 2x = 10 + 9x Solving 52 + 2x = 10 + 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 = 10 + 9x + -9x Combine like terms: 2x + -9x = -7x 52 + -7x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 52 + -7x = 10 + 0 52 + -7x = 10 Add '-52' to each side of the equation. 52 + -52 + -7x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 10 + -52 -7x = 10 + -52 Combine like terms: 10 + -52 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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