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Simplifying 4(2x + -2y) + -1(2x + 3y) = 0 (2x * 4 + -2y * 4) + -1(2x + 3y) = 0 (8x + -8y) + -1(2x + 3y) = 0 8x + -8y + (2x * -1 + 3y * -1) = 0 8x + -8y + (-2x + -3y) = 0 Reorder the terms: 8x + -2x + -8y + -3y = 0 Combine like terms: 8x + -2x = 6x 6x + -8y + -3y = 0 Combine like terms: -8y + -3y = -11y 6x + -11y = 0 Solving 6x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 6x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 6x + 0 = 0 + 11y 6x = 0 + 11y Remove the zero: 6x = 11y Divide each side by '6'. x = 1.833333333y Simplifying x = 1.833333333y
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