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Simplifying 6 + -3(5 + 2(3x + -5y)) + -1y = 0 6 + -3(5 + (3x * 2 + -5y * 2)) + -1y = 0 6 + -3(5 + (6x + -10y)) + -1y = 0 6 + (5 * -3 + 6x * -3 + -10y * -3) + -1y = 0 6 + (-15 + -18x + 30y) + -1y = 0 Combine like terms: 6 + -15 = -9 -9 + -18x + 30y + -1y = 0 Combine like terms: 30y + -1y = 29y -9 + -18x + 29y = 0 Solving -9 + -18x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -18x + 9 + 29y = 0 + 9 Reorder the terms: -9 + 9 + -18x + 29y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -18x + 29y = 0 + 9 -18x + 29y = 0 + 9 Combine like terms: 0 + 9 = 9 -18x + 29y = 9 Add '-29y' to each side of the equation. -18x + 29y + -29y = 9 + -29y Combine like terms: 29y + -29y = 0 -18x + 0 = 9 + -29y -18x = 9 + -29y Divide each side by '-18'. x = -0.5 + 1.611111111y Simplifying x = -0.5 + 1.611111111y
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