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Simplifying -5x + 2 = 10 + -8x Reorder the terms: 2 + -5x = 10 + -8x Solving 2 + -5x = 10 + -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. 2 + -5x + 8x = 10 + -8x + 8x Combine like terms: -5x + 8x = 3x 2 + 3x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 3x = 10 + 0 2 + 3x = 10 Add '-2' to each side of the equation. 2 + -2 + 3x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 10 + -2 3x = 10 + -2 Combine like terms: 10 + -2 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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