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Simplifying 4x + -1y + 1 = 2x + 3y + -4 Reorder the terms: 1 + 4x + -1y = 2x + 3y + -4 Reorder the terms: 1 + 4x + -1y = -4 + 2x + 3y Solving 1 + 4x + -1y = -4 + 2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 4x + -2x + -1y = -4 + 2x + -2x + 3y Combine like terms: 4x + -2x = 2x 1 + 2x + -1y = -4 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 1 + 2x + -1y = -4 + 0 + 3y 1 + 2x + -1y = -4 + 3y Add '-1' to each side of the equation. 1 + 2x + -1 + -1y = -4 + -1 + 3y Reorder the terms: 1 + -1 + 2x + -1y = -4 + -1 + 3y Combine like terms: 1 + -1 = 0 0 + 2x + -1y = -4 + -1 + 3y 2x + -1y = -4 + -1 + 3y Combine like terms: -4 + -1 = -5 2x + -1y = -5 + 3y Add 'y' to each side of the equation. 2x + -1y + y = -5 + 3y + y Combine like terms: -1y + y = 0 2x + 0 = -5 + 3y + y 2x = -5 + 3y + y Combine like terms: 3y + y = 4y 2x = -5 + 4y Divide each side by '2'. x = -2.5 + 2y Simplifying x = -2.5 + 2y
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