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Simplifying (4x + 3y) + -1(2x + -5y) = 0 Remove parenthesis around (4x + 3y) 4x + 3y + -1(2x + -5y) = 0 4x + 3y + (2x * -1 + -5y * -1) = 0 4x + 3y + (-2x + 5y) = 0 Reorder the terms: 4x + -2x + 3y + 5y = 0 Combine like terms: 4x + -2x = 2x 2x + 3y + 5y = 0 Combine like terms: 3y + 5y = 8y 2x + 8y = 0 Solving 2x + 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. 2x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 2x + 0 = 0 + -8y 2x = 0 + -8y Remove the zero: 2x = -8y Divide each side by '2'. x = -4y Simplifying x = -4y
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