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Simplifying 10x + 9 = 7x + 24 Reorder the terms: 9 + 10x = 7x + 24 Reorder the terms: 9 + 10x = 24 + 7x Solving 9 + 10x = 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. 9 + 10x + -7x = 24 + 7x + -7x Combine like terms: 10x + -7x = 3x 9 + 3x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 3x = 24 + 0 9 + 3x = 24 Add '-9' to each side of the equation. 9 + -9 + 3x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 24 + -9 3x = 24 + -9 Combine like terms: 24 + -9 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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