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Simplifying -4(x + 3y) + (2x + -5y) = 0 (x * -4 + 3y * -4) + (2x + -5y) = 0 (-4x + -12y) + (2x + -5y) = 0 Remove parenthesis around (2x + -5y) -4x + -12y + 2x + -5y = 0 Reorder the terms: -4x + 2x + -12y + -5y = 0 Combine like terms: -4x + 2x = -2x -2x + -12y + -5y = 0 Combine like terms: -12y + -5y = -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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