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Simplifying 3x + 4y + -5(8x + -2y) = 0 3x + 4y + (8x * -5 + -2y * -5) = 0 3x + 4y + (-40x + 10y) = 0 Reorder the terms: 3x + -40x + 4y + 10y = 0 Combine like terms: 3x + -40x = -37x -37x + 4y + 10y = 0 Combine like terms: 4y + 10y = 14y -37x + 14y = 0 Solving -37x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -37x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 -37x + 0 = 0 + -14y -37x = 0 + -14y Remove the zero: -37x = -14y Divide each side by '-37'. x = 0.3783783784y Simplifying x = 0.3783783784y
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