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Simplifying 2x + 5 = 3x + 17 Reorder the terms: 5 + 2x = 3x + 17 Reorder the terms: 5 + 2x = 17 + 3x Solving 5 + 2x = 17 + 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. 5 + 2x + -3x = 17 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 17 + 0 5 + -1x = 17 Add '-5' to each side of the equation. 5 + -5 + -1x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 17 + -5 -1x = 17 + -5 Combine like terms: 17 + -5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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