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Simplifying 12x + 6 = 9x + 17 Reorder the terms: 6 + 12x = 9x + 17 Reorder the terms: 6 + 12x = 17 + 9x Solving 6 + 12x = 17 + 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. 6 + 12x + -9x = 17 + 9x + -9x Combine like terms: 12x + -9x = 3x 6 + 3x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 3x = 17 + 0 6 + 3x = 17 Add '-6' to each side of the equation. 6 + -6 + 3x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 17 + -6 3x = 17 + -6 Combine like terms: 17 + -6 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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