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Simplifying x + 2.5 = 3.2x + 5.2 Reorder the terms: 2.5 + x = 3.2x + 5.2 Reorder the terms: 2.5 + x = 5.2 + 3.2x Solving 2.5 + x = 5.2 + 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. 2.5 + x + -3.2x = 5.2 + 3.2x + -3.2x Combine like terms: x + -3.2x = -2.2x 2.5 + -2.2x = 5.2 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 2.5 + -2.2x = 5.2 + 0.0 2.5 + -2.2x = 5.2 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2.2x = 5.2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.2x = 5.2 + -2.5 -2.2x = 5.2 + -2.5 Combine like terms: 5.2 + -2.5 = 2.7 -2.2x = 2.7 Divide each side by '-2.2'. x = -1.227272727 Simplifying x = -1.227272727
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