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Simplifying 0.3x + 2.4 = 0.1x + 4 Reorder the terms: 2.4 + 0.3x = 0.1x + 4 Reorder the terms: 2.4 + 0.3x = 4 + 0.1x Solving 2.4 + 0.3x = 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. 2.4 + 0.3x + -0.1x = 4 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 2.4 + 0.2x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 2.4 + 0.2x = 4 + 0.0 2.4 + 0.2x = 4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.2x = 4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.2x = 4 + -2.4 0.2x = 4 + -2.4 Combine like terms: 4 + -2.4 = 1.6 0.2x = 1.6 Divide each side by '0.2'. x = 8 Simplifying x = 8
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