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Simplifying 3(10x + 9y) + -1(3x + -4y) = 0 (10x * 3 + 9y * 3) + -1(3x + -4y) = 0 (30x + 27y) + -1(3x + -4y) = 0 30x + 27y + (3x * -1 + -4y * -1) = 0 30x + 27y + (-3x + 4y) = 0 Reorder the terms: 30x + -3x + 27y + 4y = 0 Combine like terms: 30x + -3x = 27x 27x + 27y + 4y = 0 Combine like terms: 27y + 4y = 31y 27x + 31y = 0 Solving 27x + 31y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31y' to each side of the equation. 27x + 31y + -31y = 0 + -31y Combine like terms: 31y + -31y = 0 27x + 0 = 0 + -31y 27x = 0 + -31y Remove the zero: 27x = -31y Divide each side by '27'. x = -1.148148148y Simplifying x = -1.148148148y
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