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Simplifying 0 = 4(x + -2y) + -3(2x + -1y) 0 = (x * 4 + -2y * 4) + -3(2x + -1y) 0 = (4x + -8y) + -3(2x + -1y) 0 = 4x + -8y + (2x * -3 + -1y * -3) 0 = 4x + -8y + (-6x + 3y) Reorder the terms: 0 = 4x + -6x + -8y + 3y Combine like terms: 4x + -6x = -2x 0 = -2x + -8y + 3y Combine like terms: -8y + 3y = -5y 0 = -2x + -5y Solving 0 = -2x + -5y 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. 0 + 2x = -2x + 2x + -5y Remove the zero: 2x = -2x + 2x + -5y Combine like terms: -2x + 2x = 0 2x = 0 + -5y 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y
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