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Simplifying 0.3x + 0.1 = 0.5x + -0.3 Reorder the terms: 0.1 + 0.3x = 0.5x + -0.3 Reorder the terms: 0.1 + 0.3x = -0.3 + 0.5x Solving 0.1 + 0.3x = -0.3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.1 + 0.3x + -0.5x = -0.3 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 0.1 + -0.2x = -0.3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 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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