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Simplifying 0.4x + 4.4 = 0.3x + 3.2 Reorder the terms: 4.4 + 0.4x = 0.3x + 3.2 Reorder the terms: 4.4 + 0.4x = 3.2 + 0.3x Solving 4.4 + 0.4x = 3.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4.4 + 0.4x + -0.3x = 3.2 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 4.4 + 0.1x = 3.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4.4 + 0.1x = 3.2 + 0.0 4.4 + 0.1x = 3.2 Add '-4.4' to each side of the equation. 4.4 + -4.4 + 0.1x = 3.2 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + 0.1x = 3.2 + -4.4 0.1x = 3.2 + -4.4 Combine like terms: 3.2 + -4.4 = -1.2 0.1x = -1.2 Divide each side by '0.1'. x = -12 Simplifying x = -12
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