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Simplifying 5(3x + -2y) + 7(4x + 5y) = 0 (3x * 5 + -2y * 5) + 7(4x + 5y) = 0 (15x + -10y) + 7(4x + 5y) = 0 15x + -10y + (4x * 7 + 5y * 7) = 0 15x + -10y + (28x + 35y) = 0 Reorder the terms: 15x + 28x + -10y + 35y = 0 Combine like terms: 15x + 28x = 43x 43x + -10y + 35y = 0 Combine like terms: -10y + 35y = 25y 43x + 25y = 0 Solving 43x + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. 43x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 43x + 0 = 0 + -25y 43x = 0 + -25y Remove the zero: 43x = -25y Divide each side by '43'. x = -0.5813953488y Simplifying x = -0.5813953488y
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