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Simplifying 5x + -5 = 6x + 2x + -22 Reorder the terms: -5 + 5x = 6x + 2x + -22 Reorder the terms: -5 + 5x = -22 + 6x + 2x Combine like terms: 6x + 2x = 8x -5 + 5x = -22 + 8x Solving -5 + 5x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 5x + -8x = -22 + 8x + -8x Combine like terms: 5x + -8x = -3x -5 + -3x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -3x = -22 + 0 -5 + -3x = -22 Add '5' to each side of the equation. -5 + 5 + -3x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -22 + 5 -3x = -22 + 5 Combine like terms: -22 + 5 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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