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Simplifying 5(6y + 2x) + -4(3x + 2y) = 0 Reorder the terms: 5(2x + 6y) + -4(3x + 2y) = 0 (2x * 5 + 6y * 5) + -4(3x + 2y) = 0 (10x + 30y) + -4(3x + 2y) = 0 10x + 30y + (3x * -4 + 2y * -4) = 0 10x + 30y + (-12x + -8y) = 0 Reorder the terms: 10x + -12x + 30y + -8y = 0 Combine like terms: 10x + -12x = -2x -2x + 30y + -8y = 0 Combine like terms: 30y + -8y = 22y -2x + 22y = 0 Solving -2x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. -2x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 -2x + 0 = 0 + -22y -2x = 0 + -22y Remove the zero: -2x = -22y Divide each side by '-2'. x = 11y Simplifying x = 11y
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