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Simplifying 2.7x + 49.9 = 11.8 + -10.0x Reorder the terms: 49.9 + 2.7x = 11.8 + -10.0x Solving 49.9 + 2.7x = 11.8 + -10.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.0x' to each side of the equation. 49.9 + 2.7x + 10.0x = 11.8 + -10.0x + 10.0x Combine like terms: 2.7x + 10.0x = 12.7x 49.9 + 12.7x = 11.8 + -10.0x + 10.0x Combine like terms: -10.0x + 10.0x = 0.0 49.9 + 12.7x = 11.8 + 0.0 49.9 + 12.7x = 11.8 Add '-49.9' to each side of the equation. 49.9 + -49.9 + 12.7x = 11.8 + -49.9 Combine like terms: 49.9 + -49.9 = 0.0 0.0 + 12.7x = 11.8 + -49.9 12.7x = 11.8 + -49.9 Combine like terms: 11.8 + -49.9 = -38.1 12.7x = -38.1 Divide each side by '12.7'. x = -3 Simplifying x = -3
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