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Simplifying 4(x + 2y) + (x + -3y) = 0 (x * 4 + 2y * 4) + (x + -3y) = 0 (4x + 8y) + (x + -3y) = 0 Remove parenthesis around (x + -3y) 4x + 8y + x + -3y = 0 Reorder the terms: 4x + x + 8y + -3y = 0 Combine like terms: 4x + x = 5x 5x + 8y + -3y = 0 Combine like terms: 8y + -3y = 5y 5x + 5y = 0 Solving 5x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 0 + -5y 5x = 0 + -5y Remove the zero: 5x = -5y Divide each side by '5'. x = -1y Simplifying x = -1y
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