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Simplifying 4x + 1 = 8x + -2y Reorder the terms: 1 + 4x = 8x + -2y Solving 1 + 4x = 8x + -2y 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. 1 + 4x + -8x = 8x + -8x + -2y Combine like terms: 4x + -8x = -4x 1 + -4x = 8x + -8x + -2y Combine like terms: 8x + -8x = 0 1 + -4x = 0 + -2y 1 + -4x = -2y Add '-1' to each side of the equation. 1 + -1 + -4x = -1 + -2y Combine like terms: 1 + -1 = 0 0 + -4x = -1 + -2y -4x = -1 + -2y Divide each side by '-4'. x = 0.25 + 0.5y Simplifying x = 0.25 + 0.5y
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