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Simplifying (5x + 14y) + (3x + 3y) = 0 Remove parenthesis around (5x + 14y) 5x + 14y + (3x + 3y) = 0 Remove parenthesis around (3x + 3y) 5x + 14y + 3x + 3y = 0 Reorder the terms: 5x + 3x + 14y + 3y = 0 Combine like terms: 5x + 3x = 8x 8x + 14y + 3y = 0 Combine like terms: 14y + 3y = 17y 8x + 17y = 0 Solving 8x + 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. 8x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 8x + 0 = 0 + -17y 8x = 0 + -17y Remove the zero: 8x = -17y Divide each side by '8'. x = -2.125y Simplifying x = -2.125y
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