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