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Simplifying -4(6x + y) + (5y + 4x) = 0 (6x * -4 + y * -4) + (5y + 4x) = 0 (-24x + -4y) + (5y + 4x) = 0 Reorder the terms: -24x + -4y + (4x + 5y) = 0 Remove parenthesis around (4x + 5y) -24x + -4y + 4x + 5y = 0 Reorder the terms: -24x + 4x + -4y + 5y = 0 Combine like terms: -24x + 4x = -20x -20x + -4y + 5y = 0 Combine like terms: -4y + 5y = 1y -20x + 1y = 0 Solving -20x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -20x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -20x + 0 = 0 + -1y -20x = 0 + -1y Remove the zero: -20x = -1y Divide each side by '-20'. x = 0.05y Simplifying x = 0.05y
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