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Simplifying 7x + 52 = 9x + 24 Reorder the terms: 52 + 7x = 9x + 24 Reorder the terms: 52 + 7x = 24 + 9x Solving 52 + 7x = 24 + 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 + 7x + -9x = 24 + 9x + -9x Combine like terms: 7x + -9x = -2x 52 + -2x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 52 + -2x = 24 + 0 52 + -2x = 24 Add '-52' to each side of the equation. 52 + -52 + -2x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -2x = 24 + -52 -2x = 24 + -52 Combine like terms: 24 + -52 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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