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Simplifying 0.2x + 0.1 = 0.12x + -0.06 Reorder the terms: 0.1 + 0.2x = 0.12x + -0.06 Reorder the terms: 0.1 + 0.2x = -0.06 + 0.12x Solving 0.1 + 0.2x = -0.06 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.1 + 0.2x + -0.12x = -0.06 + 0.12x + -0.12x Combine like terms: 0.2x + -0.12x = 0.08x 0.1 + 0.08x = -0.06 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.1 + 0.08x = -0.06 + 0.00 0.1 + 0.08x = -0.06 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.08x = -0.06 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.08x = -0.06 + -0.1 0.08x = -0.06 + -0.1 Combine like terms: -0.06 + -0.1 = -0.16 0.08x = -0.16 Divide each side by '0.08'. x = -2 Simplifying x = -2
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