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Simplifying (12.1y + 0.2x) + -3(2y + x) = 0 Reorder the terms: (0.2x + 12.1y) + -3(2y + x) = 0 Remove parenthesis around (0.2x + 12.1y) 0.2x + 12.1y + -3(2y + x) = 0 Reorder the terms: 0.2x + 12.1y + -3(x + 2y) = 0 0.2x + 12.1y + (x * -3 + 2y * -3) = 0 0.2x + 12.1y + (-3x + -6y) = 0 Reorder the terms: 0.2x + -3x + 12.1y + -6y = 0 Combine like terms: 0.2x + -3x = -2.8x -2.8x + 12.1y + -6y = 0 Combine like terms: 12.1y + -6y = 6.1y -2.8x + 6.1y = 0 Solving -2.8x + 6.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.1y' to each side of the equation. -2.8x + 6.1y + -6.1y = 0 + -6.1y Combine like terms: 6.1y + -6.1y = 0.0 -2.8x + 0.0 = 0 + -6.1y -2.8x = 0 + -6.1y Remove the zero: -2.8x = -6.1y Divide each side by '-2.8'. x = 2.178571429y Simplifying x = 2.178571429y
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