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Simplifying 2.3x + 1.2 + 2.5x = 9.2 + -3.2x Reorder the terms: 1.2 + 2.3x + 2.5x = 9.2 + -3.2x Combine like terms: 2.3x + 2.5x = 4.8x 1.2 + 4.8x = 9.2 + -3.2x Solving 1.2 + 4.8x = 9.2 + -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. 1.2 + 4.8x + 3.2x = 9.2 + -3.2x + 3.2x Combine like terms: 4.8x + 3.2x = 8x 1.2 + 8x = 9.2 + -3.2x + 3.2x Combine like terms: -3.2x + 3.2x = 0.0 1.2 + 8x = 9.2 + 0.0 1.2 + 8x = 9.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 8x = 9.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 8x = 9.2 + -1.2 8x = 9.2 + -1.2 Combine like terms: 9.2 + -1.2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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