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Simplifying 0.1x + 0.6 = 0.06x + 0.2 Reorder the terms: 0.6 + 0.1x = 0.06x + 0.2 Reorder the terms: 0.6 + 0.1x = 0.2 + 0.06x Solving 0.6 + 0.1x = 0.2 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.6 + 0.1x + -0.06x = 0.2 + 0.06x + -0.06x Combine like terms: 0.1x + -0.06x = 0.04x 0.6 + 0.04x = 0.2 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.6 + 0.04x = 0.2 + 0.00 0.6 + 0.04x = 0.2 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.04x = 0.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.04x = 0.2 + -0.6 0.04x = 0.2 + -0.6 Combine like terms: 0.2 + -0.6 = -0.4 0.04x = -0.4 Divide each side by '0.04'. x = -10 Simplifying x = -10
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