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Simplifying 0.3 + 4.2 = 0.1x + 4 Combine like terms: 0.3 + 4.2 = 4.5 4.5 = 0.1x + 4 Reorder the terms: 4.5 = 4 + 0.1x Solving 4.5 = 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. 4.5 + -0.1x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 4.5 + -0.1x = 4 + 0.0 4.5 + -0.1x = 4 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.1x = 4 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.1x = 4 + -4.5 -0.1x = 4 + -4.5 Combine like terms: 4 + -4.5 = -0.5 -0.1x = -0.5 Divide each side by '-0.1'. x = 5 Simplifying x = 5
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