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Simplifying x + 17 = -2x + 5 Reorder the terms: 17 + x = -2x + 5 Reorder the terms: 17 + x = 5 + -2x Solving 17 + x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + x + 2x = 5 + -2x + 2x Combine like terms: x + 2x = 3x 17 + 3x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 3x = 5 + 0 17 + 3x = 5 Add '-17' to each side of the equation. 17 + -17 + 3x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 5 + -17 3x = 5 + -17 Combine like terms: 5 + -17 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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