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Simplifying 3.2x + 4.5 + 3 + -2 = -2.2 + 5x + -7 Reorder the terms: 4.5 + 3 + -2 + 3.2x = -2.2 + 5x + -7 Combine like terms: 4.5 + 3 = 7.5 7.5 + -2 + 3.2x = -2.2 + 5x + -7 Combine like terms: 7.5 + -2 = 5.5 5.5 + 3.2x = -2.2 + 5x + -7 Reorder the terms: 5.5 + 3.2x = -2.2 + -7 + 5x Combine like terms: -2.2 + -7 = -9.2 5.5 + 3.2x = -9.2 + 5x Solving 5.5 + 3.2x = -9.2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5.5 + 3.2x + -5x = -9.2 + 5x + -5x Combine like terms: 3.2x + -5x = -1.8x 5.5 + -1.8x = -9.2 + 5x + -5x Combine like terms: 5x + -5x = 0 5.5 + -1.8x = -9.2 + 0 5.5 + -1.8x = -9.2 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -1.8x = -9.2 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.8x = -9.2 + -5.5 -1.8x = -9.2 + -5.5 Combine like terms: -9.2 + -5.5 = -14.7 -1.8x = -14.7 Divide each side by '-1.8'. x = 8.166666667 Simplifying x = 8.166666667
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