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Simplifying (16x + -14y) + 4(5y + -3x) = 0 Remove parenthesis around (16x + -14y) 16x + -14y + 4(5y + -3x) = 0 Reorder the terms: 16x + -14y + 4(-3x + 5y) = 0 16x + -14y + (-3x * 4 + 5y * 4) = 0 16x + -14y + (-12x + 20y) = 0 Reorder the terms: 16x + -12x + -14y + 20y = 0 Combine like terms: 16x + -12x = 4x 4x + -14y + 20y = 0 Combine like terms: -14y + 20y = 6y 4x + 6y = 0 Solving 4x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 = 0 + -6y 4x = 0 + -6y Remove the zero: 4x = -6y Divide each side by '4'. x = -1.5y Simplifying x = -1.5y
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