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Simplifying 4.1x + 58.2 = 0.7 + -7.4x Reorder the terms: 58.2 + 4.1x = 0.7 + -7.4x Solving 58.2 + 4.1x = 0.7 + -7.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.4x' to each side of the equation. 58.2 + 4.1x + 7.4x = 0.7 + -7.4x + 7.4x Combine like terms: 4.1x + 7.4x = 11.5x 58.2 + 11.5x = 0.7 + -7.4x + 7.4x Combine like terms: -7.4x + 7.4x = 0.0 58.2 + 11.5x = 0.7 + 0.0 58.2 + 11.5x = 0.7 Add '-58.2' to each side of the equation. 58.2 + -58.2 + 11.5x = 0.7 + -58.2 Combine like terms: 58.2 + -58.2 = 0.0 0.0 + 11.5x = 0.7 + -58.2 11.5x = 0.7 + -58.2 Combine like terms: 0.7 + -58.2 = -57.5 11.5x = -57.5 Divide each side by '11.5'. x = -5 Simplifying x = -5
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