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Simplifying 3(x + 3y) + -5(6x + -7y) = 0 (x * 3 + 3y * 3) + -5(6x + -7y) = 0 (3x + 9y) + -5(6x + -7y) = 0 3x + 9y + (6x * -5 + -7y * -5) = 0 3x + 9y + (-30x + 35y) = 0 Reorder the terms: 3x + -30x + 9y + 35y = 0 Combine like terms: 3x + -30x = -27x -27x + 9y + 35y = 0 Combine like terms: 9y + 35y = 44y -27x + 44y = 0 Solving -27x + 44y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44y' to each side of the equation. -27x + 44y + -44y = 0 + -44y Combine like terms: 44y + -44y = 0 -27x + 0 = 0 + -44y -27x = 0 + -44y Remove the zero: -27x = -44y Divide each side by '-27'. x = 1.62962963y Simplifying x = 1.62962963y
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