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Simplifying -22x + -4 + 17x + -2 = 2 + -11x + 8x + -2 Reorder the terms: -4 + -2 + -22x + 17x = 2 + -11x + 8x + -2 Combine like terms: -4 + -2 = -6 -6 + -22x + 17x = 2 + -11x + 8x + -2 Combine like terms: -22x + 17x = -5x -6 + -5x = 2 + -11x + 8x + -2 Reorder the terms: -6 + -5x = 2 + -2 + -11x + 8x Combine like terms: 2 + -2 = 0 -6 + -5x = 0 + -11x + 8x -6 + -5x = -11x + 8x Combine like terms: -11x + 8x = -3x -6 + -5x = -3x Solving -6 + -5x = -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. -6 + -5x + 3x = -3x + 3x Combine like terms: -5x + 3x = -2x -6 + -2x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2x = 0 Add '6' to each side of the equation. -6 + 6 + -2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 0 + 6 -2x = 0 + 6 Combine like terms: 0 + 6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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