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Simplifying 0.3x + 3.2 = 0.9x + -2.2 Reorder the terms: 3.2 + 0.3x = 0.9x + -2.2 Reorder the terms: 3.2 + 0.3x = -2.2 + 0.9x Solving 3.2 + 0.3x = -2.2 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 3.2 + 0.3x + -0.9x = -2.2 + 0.9x + -0.9x Combine like terms: 0.3x + -0.9x = -0.6x 3.2 + -0.6x = -2.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 3.2 + -0.6x = -2.2 + 0.0 3.2 + -0.6x = -2.2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.6x = -2.2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.6x = -2.2 + -3.2 -0.6x = -2.2 + -3.2 Combine like terms: -2.2 + -3.2 = -5.4 -0.6x = -5.4 Divide each side by '-0.6'. x = 9 Simplifying x = 9
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