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Simplifying 0 = 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) Reorder the terms: 0 = 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) Reorder the terms: 0 = 4x + 15x + -2x + -20y + -10y + 5y Combine like terms: 4x + 15x = 19x 0 = 19x + -2x + -20y + -10y + 5y Combine like terms: 19x + -2x = 17x 0 = 17x + -20y + -10y + 5y Combine like terms: -20y + -10y = -30y 0 = 17x + -30y + 5y Combine like terms: -30y + 5y = -25y 0 = 17x + -25y Solving 0 = 17x + -25y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 0 + -17x = 17x + -17x + -25y Remove the zero: -17x = 17x + -17x + -25y Combine like terms: 17x + -17x = 0 -17x = 0 + -25y -17x = -25y Divide each side by '-17'. x = 1.470588235y Simplifying x = 1.470588235y
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