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Simplifying 3.2x + 4.5x + 3 + -2 = -2.2 + 5x + -7 Reorder the terms: 3 + -2 + 3.2x + 4.5x = -2.2 + 5x + -7 Combine like terms: 3 + -2 = 1 1 + 3.2x + 4.5x = -2.2 + 5x + -7 Combine like terms: 3.2x + 4.5x = 7.7x 1 + 7.7x = -2.2 + 5x + -7 Reorder the terms: 1 + 7.7x = -2.2 + -7 + 5x Combine like terms: -2.2 + -7 = -9.2 1 + 7.7x = -9.2 + 5x Solving 1 + 7.7x = -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. 1 + 7.7x + -5x = -9.2 + 5x + -5x Combine like terms: 7.7x + -5x = 2.7x 1 + 2.7x = -9.2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2.7x = -9.2 + 0 1 + 2.7x = -9.2 Add '-1' to each side of the equation. 1 + -1 + 2.7x = -9.2 + -1 Combine like terms: 1 + -1 = 0 0 + 2.7x = -9.2 + -1 2.7x = -9.2 + -1 Combine like terms: -9.2 + -1 = -10.2 2.7x = -10.2 Divide each side by '2.7'. x = -3.777777778 Simplifying x = -3.777777778
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