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Simplifying 4(2x + 7y) + -5(-2y + 4x) + 3(-3 + -5y) = 0 (2x * 4 + 7y * 4) + -5(-2y + 4x) + 3(-3 + -5y) = 0 (8x + 28y) + -5(-2y + 4x) + 3(-3 + -5y) = 0 Reorder the terms: 8x + 28y + -5(4x + -2y) + 3(-3 + -5y) = 0 8x + 28y + (4x * -5 + -2y * -5) + 3(-3 + -5y) = 0 8x + 28y + (-20x + 10y) + 3(-3 + -5y) = 0 8x + 28y + -20x + 10y + (-3 * 3 + -5y * 3) = 0 8x + 28y + -20x + 10y + (-9 + -15y) = 0 Reorder the terms: -9 + 8x + -20x + 28y + 10y + -15y = 0 Combine like terms: 8x + -20x = -12x -9 + -12x + 28y + 10y + -15y = 0 Combine like terms: 28y + 10y = 38y -9 + -12x + 38y + -15y = 0 Combine like terms: 38y + -15y = 23y -9 + -12x + 23y = 0 Solving -9 + -12x + 23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -12x + 9 + 23y = 0 + 9 Reorder the terms: -9 + 9 + -12x + 23y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -12x + 23y = 0 + 9 -12x + 23y = 0 + 9 Combine like terms: 0 + 9 = 9 -12x + 23y = 9 Add '-23y' to each side of the equation. -12x + 23y + -23y = 9 + -23y Combine like terms: 23y + -23y = 0 -12x + 0 = 9 + -23y -12x = 9 + -23y Divide each side by '-12'. x = -0.75 + 1.916666667y Simplifying x = -0.75 + 1.916666667y
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