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Simplifying 4x + -6 + 2y = 2x + -1y Reorder the terms: -6 + 4x + 2y = 2x + -1y Solving -6 + 4x + 2y = 2x + -1y 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. -6 + 4x + -2x + 2y = 2x + -2x + -1y Combine like terms: 4x + -2x = 2x -6 + 2x + 2y = 2x + -2x + -1y Combine like terms: 2x + -2x = 0 -6 + 2x + 2y = 0 + -1y -6 + 2x + 2y = -1y Add '6' to each side of the equation. -6 + 2x + 6 + 2y = 6 + -1y Reorder the terms: -6 + 6 + 2x + 2y = 6 + -1y Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 6 + -1y 2x + 2y = 6 + -1y Add '-2y' to each side of the equation. 2x + 2y + -2y = 6 + -1y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 6 + -1y + -2y 2x = 6 + -1y + -2y Combine like terms: -1y + -2y = -3y 2x = 6 + -3y Divide each side by '2'. x = 3 + -1.5y Simplifying x = 3 + -1.5y
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