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Simplifying 4.4x + 0.2 = 5.3x + -4.3 Reorder the terms: 0.2 + 4.4x = 5.3x + -4.3 Reorder the terms: 0.2 + 4.4x = -4.3 + 5.3x Solving 0.2 + 4.4x = -4.3 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. 0.2 + 4.4x + -5.3x = -4.3 + 5.3x + -5.3x Combine like terms: 4.4x + -5.3x = -0.9x 0.2 + -0.9x = -4.3 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 0.2 + -0.9x = -4.3 + 0.0 0.2 + -0.9x = -4.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.9x = -4.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.9x = -4.3 + -0.2 -0.9x = -4.3 + -0.2 Combine like terms: -4.3 + -0.2 = -4.5 -0.9x = -4.5 Divide each side by '-0.9'. x = 5 Simplifying x = 5
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