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Simplifying 4.5x + 41.2 = 6.7 + -7.0x Reorder the terms: 41.2 + 4.5x = 6.7 + -7.0x Solving 41.2 + 4.5x = 6.7 + -7.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.0x' to each side of the equation. 41.2 + 4.5x + 7.0x = 6.7 + -7.0x + 7.0x Combine like terms: 4.5x + 7.0x = 11.5x 41.2 + 11.5x = 6.7 + -7.0x + 7.0x Combine like terms: -7.0x + 7.0x = 0.0 41.2 + 11.5x = 6.7 + 0.0 41.2 + 11.5x = 6.7 Add '-41.2' to each side of the equation. 41.2 + -41.2 + 11.5x = 6.7 + -41.2 Combine like terms: 41.2 + -41.2 = 0.0 0.0 + 11.5x = 6.7 + -41.2 11.5x = 6.7 + -41.2 Combine like terms: 6.7 + -41.2 = -34.5 11.5x = -34.5 Divide each side by '11.5'. x = -3 Simplifying x = -3
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