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Simplifying 2.4x + 54.5 = 32.7 + -8.5x Reorder the terms: 54.5 + 2.4x = 32.7 + -8.5x Solving 54.5 + 2.4x = 32.7 + -8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.5x' to each side of the equation. 54.5 + 2.4x + 8.5x = 32.7 + -8.5x + 8.5x Combine like terms: 2.4x + 8.5x = 10.9x 54.5 + 10.9x = 32.7 + -8.5x + 8.5x Combine like terms: -8.5x + 8.5x = 0.0 54.5 + 10.9x = 32.7 + 0.0 54.5 + 10.9x = 32.7 Add '-54.5' to each side of the equation. 54.5 + -54.5 + 10.9x = 32.7 + -54.5 Combine like terms: 54.5 + -54.5 = 0.0 0.0 + 10.9x = 32.7 + -54.5 10.9x = 32.7 + -54.5 Combine like terms: 32.7 + -54.5 = -21.8 10.9x = -21.8 Divide each side by '10.9'. x = -2 Simplifying x = -2
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