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Simplifying -1(3y + x) + -2(4x + 5y) = 0 Reorder the terms: -1(x + 3y) + -2(4x + 5y) = 0 (x * -1 + 3y * -1) + -2(4x + 5y) = 0 (-1x + -3y) + -2(4x + 5y) = 0 -1x + -3y + (4x * -2 + 5y * -2) = 0 -1x + -3y + (-8x + -10y) = 0 Reorder the terms: -1x + -8x + -3y + -10y = 0 Combine like terms: -1x + -8x = -9x -9x + -3y + -10y = 0 Combine like terms: -3y + -10y = -13y -9x + -13y = 0 Solving -9x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. -9x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 -9x + 0 = 0 + 13y -9x = 0 + 13y Remove the zero: -9x = 13y Divide each side by '-9'. x = -1.444444444y Simplifying x = -1.444444444y
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