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Simplifying 0.3x + 4.2 = 0.1x + 4 Reorder the terms: 4.2 + 0.3x = 0.1x + 4 Reorder the terms: 4.2 + 0.3x = 4 + 0.1x Solving 4.2 + 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. 4.2 + 0.3x + -0.1x = 4 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 4.2 + 0.2x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 4.2 + 0.2x = 4 + 0.0 4.2 + 0.2x = 4 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.2x = 4 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.2x = 4 + -4.2 0.2x = 4 + -4.2 Combine like terms: 4 + -4.2 = -0.2 0.2x = -0.2 Divide each side by '0.2'. x = -1 Simplifying x = -1
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