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Simplifying 9x + 10 = 7x + 24 Reorder the terms: 10 + 9x = 7x + 24 Reorder the terms: 10 + 9x = 24 + 7x Solving 10 + 9x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 9x + -7x = 24 + 7x + -7x Combine like terms: 9x + -7x = 2x 10 + 2x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 2x = 24 + 0 10 + 2x = 24 Add '-10' to each side of the equation. 10 + -10 + 2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 24 + -10 2x = 24 + -10 Combine like terms: 24 + -10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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