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Simplifying 0.3x + 2 = 10.2 + -3.2x Reorder the terms: 2 + 0.3x = 10.2 + -3.2x Solving 2 + 0.3x = 10.2 + -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 + 0.3x + 3.2x = 10.2 + -3.2x + 3.2x Combine like terms: 0.3x + 3.2x = 3.5x 2 + 3.5x = 10.2 + -3.2x + 3.2x Combine like terms: -3.2x + 3.2x = 0.0 2 + 3.5x = 10.2 + 0.0 2 + 3.5x = 10.2 Add '-2' to each side of the equation. 2 + -2 + 3.5x = 10.2 + -2 Combine like terms: 2 + -2 = 0 0 + 3.5x = 10.2 + -2 3.5x = 10.2 + -2 Combine like terms: 10.2 + -2 = 8.2 3.5x = 8.2 Divide each side by '3.5'. x = 2.342857143 Simplifying x = 2.342857143
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