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Simplifying -0.9x + 4.42 = -0.4x + 9.92 Reorder the terms: 4.42 + -0.9x = -0.4x + 9.92 Reorder the terms: 4.42 + -0.9x = 9.92 + -0.4x Solving 4.42 + -0.9x = 9.92 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 4.42 + -0.9x + 0.4x = 9.92 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 4.42 + -0.5x = 9.92 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 4.42 + -0.5x = 9.92 + 0.0 4.42 + -0.5x = 9.92 Add '-4.42' to each side of the equation. 4.42 + -4.42 + -0.5x = 9.92 + -4.42 Combine like terms: 4.42 + -4.42 = 0.00 0.00 + -0.5x = 9.92 + -4.42 -0.5x = 9.92 + -4.42 Combine like terms: 9.92 + -4.42 = 5.5 -0.5x = 5.5 Divide each side by '-0.5'. x = -11 Simplifying x = -11
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