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Simplifying 4(2x + 5y) + 5(3x + 4y) = 0 (2x * 4 + 5y * 4) + 5(3x + 4y) = 0 (8x + 20y) + 5(3x + 4y) = 0 8x + 20y + (3x * 5 + 4y * 5) = 0 8x + 20y + (15x + 20y) = 0 Reorder the terms: 8x + 15x + 20y + 20y = 0 Combine like terms: 8x + 15x = 23x 23x + 20y + 20y = 0 Combine like terms: 20y + 20y = 40y 23x + 40y = 0 Solving 23x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. 23x + 40y + -40y = 0 + -40y Combine like terms: 40y + -40y = 0 23x + 0 = 0 + -40y 23x = 0 + -40y Remove the zero: 23x = -40y Divide each side by '23'. x = -1.739130435y Simplifying x = -1.739130435y
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