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Simplifying 4.1x + 58.6 = 30.2 + -10.1x Reorder the terms: 58.6 + 4.1x = 30.2 + -10.1x Solving 58.6 + 4.1x = 30.2 + -10.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.1x' to each side of the equation. 58.6 + 4.1x + 10.1x = 30.2 + -10.1x + 10.1x Combine like terms: 4.1x + 10.1x = 14.2x 58.6 + 14.2x = 30.2 + -10.1x + 10.1x Combine like terms: -10.1x + 10.1x = 0.0 58.6 + 14.2x = 30.2 + 0.0 58.6 + 14.2x = 30.2 Add '-58.6' to each side of the equation. 58.6 + -58.6 + 14.2x = 30.2 + -58.6 Combine like terms: 58.6 + -58.6 = 0.0 0.0 + 14.2x = 30.2 + -58.6 14.2x = 30.2 + -58.6 Combine like terms: 30.2 + -58.6 = -28.4 14.2x = -28.4 Divide each side by '14.2'. x = -2 Simplifying x = -2
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