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Simplifying -7(10x + -7y) + -6(8x + 4y) = 0 (10x * -7 + -7y * -7) + -6(8x + 4y) = 0 (-70x + 49y) + -6(8x + 4y) = 0 -70x + 49y + (8x * -6 + 4y * -6) = 0 -70x + 49y + (-48x + -24y) = 0 Reorder the terms: -70x + -48x + 49y + -24y = 0 Combine like terms: -70x + -48x = -118x -118x + 49y + -24y = 0 Combine like terms: 49y + -24y = 25y -118x + 25y = 0 Solving -118x + 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. -118x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 -118x + 0 = 0 + -25y -118x = 0 + -25y Remove the zero: -118x = -25y Divide each side by '-118'. x = 0.2118644068y Simplifying x = 0.2118644068y
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