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Simplifying 5x + -2x + -17 = 1 + 5x Reorder the terms: -17 + 5x + -2x = 1 + 5x Combine like terms: 5x + -2x = 3x -17 + 3x = 1 + 5x Solving -17 + 3x = 1 + 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 + 3x + -5x = 1 + 5x + -5x Combine like terms: 3x + -5x = -2x -17 + -2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -2x = 1 + 0 -17 + -2x = 1 Add '17' to each side of the equation. -17 + 17 + -2x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 1 + 17 -2x = 1 + 17 Combine like terms: 1 + 17 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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