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Simplifying 3.2x + 4.5x + 3 + -2 = -2.2x + 5x + -7 Reorder the terms: 3 + -2 + 3.2x + 4.5x = -2.2x + 5x + -7 Combine like terms: 3 + -2 = 1 1 + 3.2x + 4.5x = -2.2x + 5x + -7 Combine like terms: 3.2x + 4.5x = 7.7x 1 + 7.7x = -2.2x + 5x + -7 Reorder the terms: 1 + 7.7x = -7 + -2.2x + 5x Combine like terms: -2.2x + 5x = 2.8x 1 + 7.7x = -7 + 2.8x Solving 1 + 7.7x = -7 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. 1 + 7.7x + -2.8x = -7 + 2.8x + -2.8x Combine like terms: 7.7x + -2.8x = 4.9x 1 + 4.9x = -7 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 1 + 4.9x = -7 + 0.0 1 + 4.9x = -7 Add '-1' to each side of the equation. 1 + -1 + 4.9x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4.9x = -7 + -1 4.9x = -7 + -1 Combine like terms: -7 + -1 = -8 4.9x = -8 Divide each side by '4.9'. x = -1.632653061 Simplifying x = -1.632653061
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