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Simplifying y + 4x + 1 = 2y + 5x + 8 Reorder the terms: 1 + 4x + y = 2y + 5x + 8 Reorder the terms: 1 + 4x + y = 8 + 5x + 2y Solving 1 + 4x + y = 8 + 5x + 2y 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. 1 + 4x + -5x + y = 8 + 5x + -5x + 2y Combine like terms: 4x + -5x = -1x 1 + -1x + y = 8 + 5x + -5x + 2y Combine like terms: 5x + -5x = 0 1 + -1x + y = 8 + 0 + 2y 1 + -1x + y = 8 + 2y Add '-1' to each side of the equation. 1 + -1x + -1 + y = 8 + -1 + 2y Reorder the terms: 1 + -1 + -1x + y = 8 + -1 + 2y Combine like terms: 1 + -1 = 0 0 + -1x + y = 8 + -1 + 2y -1x + y = 8 + -1 + 2y Combine like terms: 8 + -1 = 7 -1x + y = 7 + 2y Add '-1y' to each side of the equation. -1x + y + -1y = 7 + 2y + -1y Combine like terms: y + -1y = 0 -1x + 0 = 7 + 2y + -1y -1x = 7 + 2y + -1y Combine like terms: 2y + -1y = 1y -1x = 7 + 1y Divide each side by '-1'. x = -7 + -1y Simplifying x = -7 + -1y
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