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Simplifying 6(0.2 + 0.2y) + 0.1x = 0 (0.2 * 6 + 0.2y * 6) + 0.1x = 0 (1.2 + 1.2y) + 0.1x = 0 Reorder the terms: 1.2 + 0.1x + 1.2y = 0 Solving 1.2 + 0.1x + 1.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + 0.1x + -1.2 + 1.2y = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + 0.1x + 1.2y = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.1x + 1.2y = 0 + -1.2 0.1x + 1.2y = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 0.1x + 1.2y = -1.2 Add '-1.2y' to each side of the equation. 0.1x + 1.2y + -1.2y = -1.2 + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 0.1x + 0.0 = -1.2 + -1.2y 0.1x = -1.2 + -1.2y Divide each side by '0.1'. x = -12 + -12y Simplifying x = -12 + -12y
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