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Simplifying 3.5x + 36.7 = 16.5 + -6.6x Reorder the terms: 36.7 + 3.5x = 16.5 + -6.6x Solving 36.7 + 3.5x = 16.5 + -6.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.6x' to each side of the equation. 36.7 + 3.5x + 6.6x = 16.5 + -6.6x + 6.6x Combine like terms: 3.5x + 6.6x = 10.1x 36.7 + 10.1x = 16.5 + -6.6x + 6.6x Combine like terms: -6.6x + 6.6x = 0.0 36.7 + 10.1x = 16.5 + 0.0 36.7 + 10.1x = 16.5 Add '-36.7' to each side of the equation. 36.7 + -36.7 + 10.1x = 16.5 + -36.7 Combine like terms: 36.7 + -36.7 = 0.0 0.0 + 10.1x = 16.5 + -36.7 10.1x = 16.5 + -36.7 Combine like terms: 16.5 + -36.7 = -20.2 10.1x = -20.2 Divide each side by '10.1'. x = -2 Simplifying x = -2
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