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Simplifying 8x + -4x + 2 = x + -4 + 6 Reorder the terms: 2 + 8x + -4x = x + -4 + 6 Combine like terms: 8x + -4x = 4x 2 + 4x = x + -4 + 6 Reorder the terms: 2 + 4x = -4 + 6 + x Combine like terms: -4 + 6 = 2 2 + 4x = 2 + x Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + x 4x = 2 + -2 + x Combine like terms: 2 + -2 = 0 4x = 0 + x 4x = x Solving 4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 3x = x + -1x Combine like terms: x + -1x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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