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Simplifying x + x + -17 = 2x + -5 + -4 + -4 + -6x + -7 + 7x + -1 + -3x Reorder the terms: -17 + x + x = 2x + -5 + -4 + -4 + -6x + -7 + 7x + -1 + -3x Combine like terms: x + x = 2x -17 + 2x = 2x + -5 + -4 + -4 + -6x + -7 + 7x + -1 + -3x Reorder the terms: -17 + 2x = -5 + -4 + -4 + -7 + -1 + 2x + -6x + 7x + -3x Combine like terms: -5 + -4 = -9 -17 + 2x = -9 + -4 + -7 + -1 + 2x + -6x + 7x + -3x Combine like terms: -9 + -4 = -13 -17 + 2x = -13 + -7 + -1 + 2x + -6x + 7x + -3x Combine like terms: -13 + -7 = -20 -17 + 2x = -20 + -1 + 2x + -6x + 7x + -3x Combine like terms: -20 + -1 = -21 -17 + 2x = -21 + 2x + -6x + 7x + -3x Combine like terms: 2x + -6x = -4x -17 + 2x = -21 + -4x + 7x + -3x Combine like terms: -4x + 7x = 3x -17 + 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = -21 + 0 -17 + 2x = -21 Solving -17 + 2x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = -21 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -21 + 17 2x = -21 + 17 Combine like terms: -21 + 17 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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