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Simplifying 0.3x + -1.2 = 0.1x + -0.4 Reorder the terms: -1.2 + 0.3x = 0.1x + -0.4 Reorder the terms: -1.2 + 0.3x = -0.4 + 0.1x Solving -1.2 + 0.3x = -0.4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -1.2 + 0.3x + -0.1x = -0.4 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x -1.2 + 0.2x = -0.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -1.2 + 0.2x = -0.4 + 0.0 -1.2 + 0.2x = -0.4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.2x = -0.4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.2x = -0.4 + 1.2 0.2x = -0.4 + 1.2 Combine like terms: -0.4 + 1.2 = 0.8 0.2x = 0.8 Divide each side by '0.2'. x = 4 Simplifying x = 4
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