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Simplifying 2.7x + 45.2 = 1.6 + -8.2x Reorder the terms: 45.2 + 2.7x = 1.6 + -8.2x Solving 45.2 + 2.7x = 1.6 + -8.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.2x' to each side of the equation. 45.2 + 2.7x + 8.2x = 1.6 + -8.2x + 8.2x Combine like terms: 2.7x + 8.2x = 10.9x 45.2 + 10.9x = 1.6 + -8.2x + 8.2x Combine like terms: -8.2x + 8.2x = 0.0 45.2 + 10.9x = 1.6 + 0.0 45.2 + 10.9x = 1.6 Add '-45.2' to each side of the equation. 45.2 + -45.2 + 10.9x = 1.6 + -45.2 Combine like terms: 45.2 + -45.2 = 0.0 0.0 + 10.9x = 1.6 + -45.2 10.9x = 1.6 + -45.2 Combine like terms: 1.6 + -45.2 = -43.6 10.9x = -43.6 Divide each side by '10.9'. x = -4 Simplifying x = -4
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