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Simplifying 6(7x + -2 + 5y) = 0 Reorder the terms: 6(-2 + 7x + 5y) = 0 (-2 * 6 + 7x * 6 + 5y * 6) = 0 (-12 + 42x + 30y) = 0 Solving -12 + 42x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 42x + 12 + 30y = 0 + 12 Reorder the terms: -12 + 12 + 42x + 30y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 42x + 30y = 0 + 12 42x + 30y = 0 + 12 Combine like terms: 0 + 12 = 12 42x + 30y = 12 Add '-30y' to each side of the equation. 42x + 30y + -30y = 12 + -30y Combine like terms: 30y + -30y = 0 42x + 0 = 12 + -30y 42x = 12 + -30y Divide each side by '42'. x = 0.2857142857 + -0.7142857143y Simplifying x = 0.2857142857 + -0.7142857143y
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