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