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Simplifying 4(x + -2y) = 3(2x + -1y) (x * 4 + -2y * 4) = 3(2x + -1y) (4x + -8y) = 3(2x + -1y) 4x + -8y = (2x * 3 + -1y * 3) 4x + -8y = (6x + -3y) Solving 4x + -8y = 6x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x + -8y = 6x + -6x + -3y Combine like terms: 4x + -6x = -2x -2x + -8y = 6x + -6x + -3y Combine like terms: 6x + -6x = 0 -2x + -8y = 0 + -3y -2x + -8y = -3y Add '8y' to each side of the equation. -2x + -8y + 8y = -3y + 8y Combine like terms: -8y + 8y = 0 -2x + 0 = -3y + 8y -2x = -3y + 8y Combine like terms: -3y + 8y = 5y -2x = 5y Divide each side by '-2'. x = -2.5y Simplifying x = -2.5y
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