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Simplifying 3.2x + 40.6 = 16.4 + -8.9x Reorder the terms: 40.6 + 3.2x = 16.4 + -8.9x Solving 40.6 + 3.2x = 16.4 + -8.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.9x' to each side of the equation. 40.6 + 3.2x + 8.9x = 16.4 + -8.9x + 8.9x Combine like terms: 3.2x + 8.9x = 12.1x 40.6 + 12.1x = 16.4 + -8.9x + 8.9x Combine like terms: -8.9x + 8.9x = 0.0 40.6 + 12.1x = 16.4 + 0.0 40.6 + 12.1x = 16.4 Add '-40.6' to each side of the equation. 40.6 + -40.6 + 12.1x = 16.4 + -40.6 Combine like terms: 40.6 + -40.6 = 0.0 0.0 + 12.1x = 16.4 + -40.6 12.1x = 16.4 + -40.6 Combine like terms: 16.4 + -40.6 = -24.2 12.1x = -24.2 Divide each side by '12.1'. x = -2 Simplifying x = -2
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