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