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Simplifying 4x + 1y = 5x + 8 Reorder the terms: 4x + 1y = 8 + 5x Solving 4x + 1y = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4x + -5x + 1y = 8 + 5x + -5x Combine like terms: 4x + -5x = -1x -1x + 1y = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -1x + 1y = 8 + 0 -1x + 1y = 8 Add '-1y' to each side of the equation. -1x + 1y + -1y = 8 + -1y Combine like terms: 1y + -1y = 0 -1x + 0 = 8 + -1y -1x = 8 + -1y Divide each side by '-1'. x = -8 + y Simplifying x = -8 + y
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