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Simplifying 0.6x + 0.1 = 0.8x + -0.3 Reorder the terms: 0.1 + 0.6x = 0.8x + -0.3 Reorder the terms: 0.1 + 0.6x = -0.3 + 0.8x Solving 0.1 + 0.6x = -0.3 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.1 + 0.6x + -0.8x = -0.3 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x 0.1 + -0.2x = -0.3 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.1 + -0.2x = -0.3 + 0.0 0.1 + -0.2x = -0.3 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.2x = -0.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.2x = -0.3 + -0.1 -0.2x = -0.3 + -0.1 Combine like terms: -0.3 + -0.1 = -0.4 -0.2x = -0.4 Divide each side by '-0.2'. x = 2 Simplifying x = 2
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