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Simplifying 2x + 17 = 5x + 12 Reorder the terms: 17 + 2x = 5x + 12 Reorder the terms: 17 + 2x = 12 + 5x Solving 17 + 2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 2x + -5x = 12 + 5x + -5x Combine like terms: 2x + -5x = -3x 17 + -3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -3x = 12 + 0 17 + -3x = 12 Add '-17' to each side of the equation. 17 + -17 + -3x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 12 + -17 -3x = 12 + -17 Combine like terms: 12 + -17 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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