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Simplifying 6(0.2x + 0.2y) + 0.1x = 0 (0.2x * 6 + 0.2y * 6) + 0.1x = 0 (1.2x + 1.2y) + 0.1x = 0 Reorder the terms: 1.2x + 0.1x + 1.2y = 0 Combine like terms: 1.2x + 0.1x = 1.3x 1.3x + 1.2y = 0 Solving 1.3x + 1.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2y' to each side of the equation. 1.3x + 1.2y + -1.2y = 0 + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 1.3x + 0.0 = 0 + -1.2y 1.3x = 0 + -1.2y Remove the zero: 1.3x = -1.2y Divide each side by '1.3'. x = -0.9230769231y Simplifying x = -0.9230769231y
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