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Simplifying (2x + -3y) + -4(x + -5y) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + -4(x + -5y) = 0 2x + -3y + (x * -4 + -5y * -4) = 0 2x + -3y + (-4x + 20y) = 0 Reorder the terms: 2x + -4x + -3y + 20y = 0 Combine like terms: 2x + -4x = -2x -2x + -3y + 20y = 0 Combine like terms: -3y + 20y = 17y -2x + 17y = 0 Solving -2x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. -2x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 -2x + 0 = 0 + -17y -2x = 0 + -17y Remove the zero: -2x = -17y Divide each side by '-2'. x = 8.5y Simplifying x = 8.5y
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