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Simplifying 10x + 9 = 3x + 10 Reorder the terms: 9 + 10x = 3x + 10 Reorder the terms: 9 + 10x = 10 + 3x Solving 9 + 10x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 10x + -3x = 10 + 3x + -3x Combine like terms: 10x + -3x = 7x 9 + 7x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 7x = 10 + 0 9 + 7x = 10 Add '-9' to each side of the equation. 9 + -9 + 7x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 10 + -9 7x = 10 + -9 Combine like terms: 10 + -9 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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