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Simplifying 3(x + 4.1) = 5 + x + 12.1 Reorder the terms: 3(4.1 + x) = 5 + x + 12.1 (4.1 * 3 + x * 3) = 5 + x + 12.1 (12.3 + 3x) = 5 + x + 12.1 Reorder the terms: 12.3 + 3x = 5 + 12.1 + x Combine like terms: 5 + 12.1 = 17.1 12.3 + 3x = 17.1 + x Solving 12.3 + 3x = 17.1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12.3 + 3x + -1x = 17.1 + x + -1x Combine like terms: 3x + -1x = 2x 12.3 + 2x = 17.1 + x + -1x Combine like terms: x + -1x = 0 12.3 + 2x = 17.1 + 0 12.3 + 2x = 17.1 Add '-12.3' to each side of the equation. 12.3 + -12.3 + 2x = 17.1 + -12.3 Combine like terms: 12.3 + -12.3 = 0.0 0.0 + 2x = 17.1 + -12.3 2x = 17.1 + -12.3 Combine like terms: 17.1 + -12.3 = 4.8 2x = 4.8 Divide each side by '2'. x = 2.4 Simplifying x = 2.4
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