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Simplifying 3.6x + 45.4 = 12.1 + -7.5x Reorder the terms: 45.4 + 3.6x = 12.1 + -7.5x Solving 45.4 + 3.6x = 12.1 + -7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5x' to each side of the equation. 45.4 + 3.6x + 7.5x = 12.1 + -7.5x + 7.5x Combine like terms: 3.6x + 7.5x = 11.1x 45.4 + 11.1x = 12.1 + -7.5x + 7.5x Combine like terms: -7.5x + 7.5x = 0.0 45.4 + 11.1x = 12.1 + 0.0 45.4 + 11.1x = 12.1 Add '-45.4' to each side of the equation. 45.4 + -45.4 + 11.1x = 12.1 + -45.4 Combine like terms: 45.4 + -45.4 = 0.0 0.0 + 11.1x = 12.1 + -45.4 11.1x = 12.1 + -45.4 Combine like terms: 12.1 + -45.4 = -33.3 11.1x = -33.3 Divide each side by '11.1'. x = -3 Simplifying x = -3
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