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Simplifying 5(8x + -11y) + -4(-2x + -5y) = 0 (8x * 5 + -11y * 5) + -4(-2x + -5y) = 0 (40x + -55y) + -4(-2x + -5y) = 0 40x + -55y + (-2x * -4 + -5y * -4) = 0 40x + -55y + (8x + 20y) = 0 Reorder the terms: 40x + 8x + -55y + 20y = 0 Combine like terms: 40x + 8x = 48x 48x + -55y + 20y = 0 Combine like terms: -55y + 20y = -35y 48x + -35y = 0 Solving 48x + -35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35y' to each side of the equation. 48x + -35y + 35y = 0 + 35y Combine like terms: -35y + 35y = 0 48x + 0 = 0 + 35y 48x = 0 + 35y Remove the zero: 48x = 35y Divide each side by '48'. x = 0.7291666667y Simplifying x = 0.7291666667y
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