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Simplifying 8 + x = 4x + 6 + -2x Reorder the terms: 8 + x = 6 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + x = 6 + 2x Solving 8 + x = 6 + 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 + x + -2x = 6 + 2x + -2x Combine like terms: x + -2x = -1x 8 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = 6 + 0 8 + -1x = 6 Add '-8' to each side of the equation. 8 + -8 + -1x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 6 + -8 -1x = 6 + -8 Combine like terms: 6 + -8 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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