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Simplifying 12x + 5 = 9x + 10 Reorder the terms: 5 + 12x = 9x + 10 Reorder the terms: 5 + 12x = 10 + 9x Solving 5 + 12x = 10 + 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. 5 + 12x + -9x = 10 + 9x + -9x Combine like terms: 12x + -9x = 3x 5 + 3x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 3x = 10 + 0 5 + 3x = 10 Add '-5' to each side of the equation. 5 + -5 + 3x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 10 + -5 3x = 10 + -5 Combine like terms: 10 + -5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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