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Simplifying 2.2x + 52.9 = 9.1 + -12.4x Reorder the terms: 52.9 + 2.2x = 9.1 + -12.4x Solving 52.9 + 2.2x = 9.1 + -12.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.4x' to each side of the equation. 52.9 + 2.2x + 12.4x = 9.1 + -12.4x + 12.4x Combine like terms: 2.2x + 12.4x = 14.6x 52.9 + 14.6x = 9.1 + -12.4x + 12.4x Combine like terms: -12.4x + 12.4x = 0.0 52.9 + 14.6x = 9.1 + 0.0 52.9 + 14.6x = 9.1 Add '-52.9' to each side of the equation. 52.9 + -52.9 + 14.6x = 9.1 + -52.9 Combine like terms: 52.9 + -52.9 = 0.0 0.0 + 14.6x = 9.1 + -52.9 14.6x = 9.1 + -52.9 Combine like terms: 9.1 + -52.9 = -43.8 14.6x = -43.8 Divide each side by '14.6'. x = -3 Simplifying x = -3
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