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Simplifying 7(x + -2y) + -5(x + -6y) = 0 (x * 7 + -2y * 7) + -5(x + -6y) = 0 (7x + -14y) + -5(x + -6y) = 0 7x + -14y + (x * -5 + -6y * -5) = 0 7x + -14y + (-5x + 30y) = 0 Reorder the terms: 7x + -5x + -14y + 30y = 0 Combine like terms: 7x + -5x = 2x 2x + -14y + 30y = 0 Combine like terms: -14y + 30y = 16y 2x + 16y = 0 Solving 2x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 2x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 2x + 0 = 0 + -16y 2x = 0 + -16y Remove the zero: 2x = -16y Divide each side by '2'. x = -8y Simplifying x = -8y
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