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Simplifying 2(4x + 5y) + -1(7x + -6y) = 0 (4x * 2 + 5y * 2) + -1(7x + -6y) = 0 (8x + 10y) + -1(7x + -6y) = 0 8x + 10y + (7x * -1 + -6y * -1) = 0 8x + 10y + (-7x + 6y) = 0 Reorder the terms: 8x + -7x + 10y + 6y = 0 Combine like terms: 8x + -7x = 1x 1x + 10y + 6y = 0 Combine like terms: 10y + 6y = 16y 1x + 16y = 0 Solving 1x + 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. 1x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 1x + 0 = 0 + -16y 1x = 0 + -16y Remove the zero: 1x = -16y Divide each side by '1'. x = -16y Simplifying x = -16y
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