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Simplifying 5 + -7 + x = 8 + -5x Combine like terms: 5 + -7 = -2 -2 + x = 8 + -5x Solving -2 + x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + x + 5x = 8 + -5x + 5x Combine like terms: x + 5x = 6x -2 + 6x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 6x = 8 + 0 -2 + 6x = 8 Add '2' to each side of the equation. -2 + 2 + 6x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 8 + 2 6x = 8 + 2 Combine like terms: 8 + 2 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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