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Simplifying 4(x + -5y) + -5(2y + -3x) + -1(2x + -5y) = 0 (x * 4 + -5y * 4) + -5(2y + -3x) + -1(2x + -5y) = 0 (4x + -20y) + -5(2y + -3x) + -1(2x + -5y) = 0 Reorder the terms: 4x + -20y + -5(-3x + 2y) + -1(2x + -5y) = 0 4x + -20y + (-3x * -5 + 2y * -5) + -1(2x + -5y) = 0 4x + -20y + (15x + -10y) + -1(2x + -5y) = 0 4x + -20y + 15x + -10y + (2x * -1 + -5y * -1) = 0 4x + -20y + 15x + -10y + (-2x + 5y) = 0 Reorder the terms: 4x + 15x + -2x + -20y + -10y + 5y = 0 Combine like terms: 4x + 15x = 19x 19x + -2x + -20y + -10y + 5y = 0 Combine like terms: 19x + -2x = 17x 17x + -20y + -10y + 5y = 0 Combine like terms: -20y + -10y = -30y 17x + -30y + 5y = 0 Combine like terms: -30y + 5y = -25y 17x + -25y = 0 Solving 17x + -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. 17x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 17x + 0 = 0 + 25y 17x = 0 + 25y Remove the zero: 17x = 25y Divide each side by '17'. x = 1.470588235y Simplifying x = 1.470588235y
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