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Simplifying -5x + 17 = x + 5 Reorder the terms: 17 + -5x = x + 5 Reorder the terms: 17 + -5x = 5 + x Solving 17 + -5x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + -5x + -1x = 5 + x + -1x Combine like terms: -5x + -1x = -6x 17 + -6x = 5 + x + -1x Combine like terms: x + -1x = 0 17 + -6x = 5 + 0 17 + -6x = 5 Add '-17' to each side of the equation. 17 + -17 + -6x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 5 + -17 -6x = 5 + -17 Combine like terms: 5 + -17 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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