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Simplifying 5x + 2 = -5x + 8 + x Reorder the terms: 2 + 5x = -5x + 8 + x Reorder the terms: 2 + 5x = 8 + -5x + x Combine like terms: -5x + x = -4x 2 + 5x = 8 + -4x Solving 2 + 5x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 5x + 4x = 8 + -4x + 4x Combine like terms: 5x + 4x = 9x 2 + 9x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 9x = 8 + 0 2 + 9x = 8 Add '-2' to each side of the equation. 2 + -2 + 9x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 8 + -2 9x = 8 + -2 Combine like terms: 8 + -2 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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