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Simplifying -0.2(9 + -1x) + -6(y + 0.6) = 0 (9 * -0.2 + -1x * -0.2) + -6(y + 0.6) = 0 (-1.8 + 0.2x) + -6(y + 0.6) = 0 Reorder the terms: -1.8 + 0.2x + -6(0.6 + y) = 0 -1.8 + 0.2x + (0.6 * -6 + y * -6) = 0 -1.8 + 0.2x + (-3.6 + -6y) = 0 Reorder the terms: -1.8 + -3.6 + 0.2x + -6y = 0 Combine like terms: -1.8 + -3.6 = -5.4 -5.4 + 0.2x + -6y = 0 Solving -5.4 + 0.2x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4' to each side of the equation. -5.4 + 0.2x + 5.4 + -6y = 0 + 5.4 Reorder the terms: -5.4 + 5.4 + 0.2x + -6y = 0 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 0.2x + -6y = 0 + 5.4 0.2x + -6y = 0 + 5.4 Combine like terms: 0 + 5.4 = 5.4 0.2x + -6y = 5.4 Add '6y' to each side of the equation. 0.2x + -6y + 6y = 5.4 + 6y Combine like terms: -6y + 6y = 0 0.2x + 0 = 5.4 + 6y 0.2x = 5.4 + 6y Divide each side by '0.2'. x = 27 + 30y Simplifying x = 27 + 30y
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