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Simplifying 3y + 5 + 2x + -1 = 4x + -1y + 1 Reorder the terms: 5 + -1 + 2x + 3y = 4x + -1y + 1 Combine like terms: 5 + -1 = 4 4 + 2x + 3y = 4x + -1y + 1 Reorder the terms: 4 + 2x + 3y = 1 + 4x + -1y Solving 4 + 2x + 3y = 1 + 4x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 2x + -4x + 3y = 1 + 4x + -4x + -1y Combine like terms: 2x + -4x = -2x 4 + -2x + 3y = 1 + 4x + -4x + -1y Combine like terms: 4x + -4x = 0 4 + -2x + 3y = 1 + 0 + -1y 4 + -2x + 3y = 1 + -1y Add '-4' to each side of the equation. 4 + -2x + -4 + 3y = 1 + -4 + -1y Reorder the terms: 4 + -4 + -2x + 3y = 1 + -4 + -1y Combine like terms: 4 + -4 = 0 0 + -2x + 3y = 1 + -4 + -1y -2x + 3y = 1 + -4 + -1y Combine like terms: 1 + -4 = -3 -2x + 3y = -3 + -1y Add '-3y' to each side of the equation. -2x + 3y + -3y = -3 + -1y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -3 + -1y + -3y -2x = -3 + -1y + -3y Combine like terms: -1y + -3y = -4y -2x = -3 + -4y Divide each side by '-2'. x = 1.5 + 2y Simplifying x = 1.5 + 2y
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