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Simplifying 5.3 = 3.2x + 7.1 Reorder the terms: 5.3 = 7.1 + 3.2x Solving 5.3 = 7.1 + 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. 5.3 + -3.2x = 7.1 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 5.3 + -3.2x = 7.1 + 0.0 5.3 + -3.2x = 7.1 Add '-5.3' to each side of the equation. 5.3 + -5.3 + -3.2x = 7.1 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + -3.2x = 7.1 + -5.3 -3.2x = 7.1 + -5.3 Combine like terms: 7.1 + -5.3 = 1.8 -3.2x = 1.8 Divide each side by '-3.2'. x = -0.5625 Simplifying x = -0.5625
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