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Simplifying 7(2x + -3y) + -2(4x + -5y) = 0 (2x * 7 + -3y * 7) + -2(4x + -5y) = 0 (14x + -21y) + -2(4x + -5y) = 0 14x + -21y + (4x * -2 + -5y * -2) = 0 14x + -21y + (-8x + 10y) = 0 Reorder the terms: 14x + -8x + -21y + 10y = 0 Combine like terms: 14x + -8x = 6x 6x + -21y + 10y = 0 Combine like terms: -21y + 10y = -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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