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Simplifying 5x + 8 + -2x = 8 + 2x + 6 Reorder the terms: 8 + 5x + -2x = 8 + 2x + 6 Combine like terms: 5x + -2x = 3x 8 + 3x = 8 + 2x + 6 Reorder the terms: 8 + 3x = 8 + 6 + 2x Combine like terms: 8 + 6 = 14 8 + 3x = 14 + 2x Solving 8 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x 8 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 1x = 14 + 0 8 + 1x = 14 Add '-8' to each side of the equation. 8 + -8 + 1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 14 + -8 1x = 14 + -8 Combine like terms: 14 + -8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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