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Simplifying 5(3x + -1y) + -7(8x + -5y) = 0 (3x * 5 + -1y * 5) + -7(8x + -5y) = 0 (15x + -5y) + -7(8x + -5y) = 0 15x + -5y + (8x * -7 + -5y * -7) = 0 15x + -5y + (-56x + 35y) = 0 Reorder the terms: 15x + -56x + -5y + 35y = 0 Combine like terms: 15x + -56x = -41x -41x + -5y + 35y = 0 Combine like terms: -5y + 35y = 30y -41x + 30y = 0 Solving -41x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. -41x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 -41x + 0 = 0 + -30y -41x = 0 + -30y Remove the zero: -41x = -30y Divide each side by '-41'. x = 0.7317073171y Simplifying x = 0.7317073171y
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