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Simplifying 0.3x + 2.1 = 0.2x + -0.4 Reorder the terms: 2.1 + 0.3x = 0.2x + -0.4 Reorder the terms: 2.1 + 0.3x = -0.4 + 0.2x Solving 2.1 + 0.3x = -0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 2.1 + 0.3x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 2.1 + 0.1x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 2.1 + 0.1x = -0.4 + 0.0 2.1 + 0.1x = -0.4 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.1x = -0.4 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.1x = -0.4 + -2.1 0.1x = -0.4 + -2.1 Combine like terms: -0.4 + -2.1 = -2.5 0.1x = -2.5 Divide each side by '0.1'. x = -25 Simplifying x = -25
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