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Simplifying 7x + 51 = 9x + 23 Reorder the terms: 51 + 7x = 9x + 23 Reorder the terms: 51 + 7x = 23 + 9x Solving 51 + 7x = 23 + 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. 51 + 7x + -9x = 23 + 9x + -9x Combine like terms: 7x + -9x = -2x 51 + -2x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 51 + -2x = 23 + 0 51 + -2x = 23 Add '-51' to each side of the equation. 51 + -51 + -2x = 23 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 23 + -51 -2x = 23 + -51 Combine like terms: 23 + -51 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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