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Simplifying 5.7x + 14 = 3.2x + -6 Reorder the terms: 14 + 5.7x = 3.2x + -6 Reorder the terms: 14 + 5.7x = -6 + 3.2x Solving 14 + 5.7x = -6 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 14 + 5.7x + -3.2x = -6 + 3.2x + -3.2x Combine like terms: 5.7x + -3.2x = 2.5x 14 + 2.5x = -6 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 14 + 2.5x = -6 + 0.0 14 + 2.5x = -6 Add '-14' to each side of the equation. 14 + -14 + 2.5x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 2.5x = -6 + -14 2.5x = -6 + -14 Combine like terms: -6 + -14 = -20 2.5x = -20 Divide each side by '2.5'. x = -8 Simplifying x = -8
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