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Simplifying (5.3x + -8.2y) + (13.3y + -4.1x) = 0 Remove parenthesis around (5.3x + -8.2y) 5.3x + -8.2y + (13.3y + -4.1x) = 0 Reorder the terms: 5.3x + -8.2y + (-4.1x + 13.3y) = 0 Remove parenthesis around (-4.1x + 13.3y) 5.3x + -8.2y + -4.1x + 13.3y = 0 Reorder the terms: 5.3x + -4.1x + -8.2y + 13.3y = 0 Combine like terms: 5.3x + -4.1x = 1.2x 1.2x + -8.2y + 13.3y = 0 Combine like terms: -8.2y + 13.3y = 5.1y 1.2x + 5.1y = 0 Solving 1.2x + 5.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1y' to each side of the equation. 1.2x + 5.1y + -5.1y = 0 + -5.1y Combine like terms: 5.1y + -5.1y = 0.0 1.2x + 0.0 = 0 + -5.1y 1.2x = 0 + -5.1y Remove the zero: 1.2x = -5.1y Divide each side by '1.2'. x = -4.25y Simplifying x = -4.25y
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