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Simplifying 0.6(20x + -80y) + -1(15x + 18y) = 0 (20x * 0.6 + -80y * 0.6) + -1(15x + 18y) = 0 (12x + -48y) + -1(15x + 18y) = 0 12x + -48y + (15x * -1 + 18y * -1) = 0 12x + -48y + (-15x + -18y) = 0 Reorder the terms: 12x + -15x + -48y + -18y = 0 Combine like terms: 12x + -15x = -3x -3x + -48y + -18y = 0 Combine like terms: -48y + -18y = -66y -3x + -66y = 0 Solving -3x + -66y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66y' to each side of the equation. -3x + -66y + 66y = 0 + 66y Combine like terms: -66y + 66y = 0 -3x + 0 = 0 + 66y -3x = 0 + 66y Remove the zero: -3x = 66y Divide each side by '-3'. x = -22y Simplifying x = -22y
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