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Simplifying (3x + -2y) + -1(4x + 5y) = 0 Remove parenthesis around (3x + -2y) 3x + -2y + -1(4x + 5y) = 0 3x + -2y + (4x * -1 + 5y * -1) = 0 3x + -2y + (-4x + -5y) = 0 Reorder the terms: 3x + -4x + -2y + -5y = 0 Combine like terms: 3x + -4x = -1x -1x + -2y + -5y = 0 Combine like terms: -2y + -5y = -7y -1x + -7y = 0 Solving -1x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -1x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -1x + 0 = 0 + 7y -1x = 0 + 7y Remove the zero: -1x = 7y Divide each side by '-1'. x = -7y Simplifying x = -7y
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