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Simplifying 8x + -17 + 5x + -10 = 10x + -22 Reorder the terms: -17 + -10 + 8x + 5x = 10x + -22 Combine like terms: -17 + -10 = -27 -27 + 8x + 5x = 10x + -22 Combine like terms: 8x + 5x = 13x -27 + 13x = 10x + -22 Reorder the terms: -27 + 13x = -22 + 10x Solving -27 + 13x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + 13x + -10x = -22 + 10x + -10x Combine like terms: 13x + -10x = 3x -27 + 3x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + 3x = -22 + 0 -27 + 3x = -22 Add '27' to each side of the equation. -27 + 27 + 3x = -22 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -22 + 27 3x = -22 + 27 Combine like terms: -22 + 27 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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