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Simplifying 6(3x + -1y + 5) = 0 Reorder the terms: 6(5 + 3x + -1y) = 0 (5 * 6 + 3x * 6 + -1y * 6) = 0 (30 + 18x + -6y) = 0 Solving 30 + 18x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 18x + -30 + -6y = 0 + -30 Reorder the terms: 30 + -30 + 18x + -6y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 18x + -6y = 0 + -30 18x + -6y = 0 + -30 Combine like terms: 0 + -30 = -30 18x + -6y = -30 Add '6y' to each side of the equation. 18x + -6y + 6y = -30 + 6y Combine like terms: -6y + 6y = 0 18x + 0 = -30 + 6y 18x = -30 + 6y Divide each side by '18'. x = -1.666666667 + 0.3333333333y Simplifying x = -1.666666667 + 0.3333333333y
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