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Simplifying 2.5x + 3.2 = 1.2x + 9.7 Reorder the terms: 3.2 + 2.5x = 1.2x + 9.7 Reorder the terms: 3.2 + 2.5x = 9.7 + 1.2x Solving 3.2 + 2.5x = 9.7 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 3.2 + 2.5x + -1.2x = 9.7 + 1.2x + -1.2x Combine like terms: 2.5x + -1.2x = 1.3x 3.2 + 1.3x = 9.7 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 3.2 + 1.3x = 9.7 + 0.0 3.2 + 1.3x = 9.7 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1.3x = 9.7 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1.3x = 9.7 + -3.2 1.3x = 9.7 + -3.2 Combine like terms: 9.7 + -3.2 = 6.5 1.3x = 6.5 Divide each side by '1.3'. x = 5 Simplifying x = 5
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