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Simplifying 4x + -1y + 1 = 2x + -1 + 3x + 5 Reorder the terms: 1 + 4x + -1y = 2x + -1 + 3x + 5 Reorder the terms: 1 + 4x + -1y = -1 + 5 + 2x + 3x Combine like terms: -1 + 5 = 4 1 + 4x + -1y = 4 + 2x + 3x Combine like terms: 2x + 3x = 5x 1 + 4x + -1y = 4 + 5x Solving 1 + 4x + -1y = 4 + 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. 1 + 4x + -5x + -1y = 4 + 5x + -5x Combine like terms: 4x + -5x = -1x 1 + -1x + -1y = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -1x + -1y = 4 + 0 1 + -1x + -1y = 4 Add '-1' to each side of the equation. 1 + -1x + -1 + -1y = 4 + -1 Reorder the terms: 1 + -1 + -1x + -1y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + -1y = 4 + -1 -1x + -1y = 4 + -1 Combine like terms: 4 + -1 = 3 -1x + -1y = 3 Add 'y' to each side of the equation. -1x + -1y + y = 3 + y Combine like terms: -1y + y = 0 -1x + 0 = 3 + y -1x = 3 + y Divide each side by '-1'. x = -3 + -1y Simplifying x = -3 + -1y
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