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Simplifying 2.9x + 54.5 = 25.5 + -11.6x Reorder the terms: 54.5 + 2.9x = 25.5 + -11.6x Solving 54.5 + 2.9x = 25.5 + -11.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.6x' to each side of the equation. 54.5 + 2.9x + 11.6x = 25.5 + -11.6x + 11.6x Combine like terms: 2.9x + 11.6x = 14.5x 54.5 + 14.5x = 25.5 + -11.6x + 11.6x Combine like terms: -11.6x + 11.6x = 0.0 54.5 + 14.5x = 25.5 + 0.0 54.5 + 14.5x = 25.5 Add '-54.5' to each side of the equation. 54.5 + -54.5 + 14.5x = 25.5 + -54.5 Combine like terms: 54.5 + -54.5 = 0.0 0.0 + 14.5x = 25.5 + -54.5 14.5x = 25.5 + -54.5 Combine like terms: 25.5 + -54.5 = -29 14.5x = -29 Divide each side by '14.5'. x = -2 Simplifying x = -2
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