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Simplifying 3.7x + -6 = 2.7x + 8 Reorder the terms: -6 + 3.7x = 2.7x + 8 Reorder the terms: -6 + 3.7x = 8 + 2.7x Solving -6 + 3.7x = 8 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -6 + 3.7x + -2.7x = 8 + 2.7x + -2.7x Combine like terms: 3.7x + -2.7x = 1x -6 + 1x = 8 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -6 + 1x = 8 + 0.0 -6 + 1x = 8 Add '6' to each side of the equation. -6 + 6 + 1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 8 + 6 1x = 8 + 6 Combine like terms: 8 + 6 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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