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Simplifying 6x + -17 = 2x + -2 + x Reorder the terms: -17 + 6x = 2x + -2 + x Reorder the terms: -17 + 6x = -2 + 2x + x Combine like terms: 2x + x = 3x -17 + 6x = -2 + 3x Solving -17 + 6x = -2 + 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. -17 + 6x + -3x = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x -17 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 3x = -2 + 0 -17 + 3x = -2 Add '17' to each side of the equation. -17 + 17 + 3x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -2 + 17 3x = -2 + 17 Combine like terms: -2 + 17 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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