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Simplifying 0.5x + 8.44 = 0.1x + 4.44 Reorder the terms: 8.44 + 0.5x = 0.1x + 4.44 Reorder the terms: 8.44 + 0.5x = 4.44 + 0.1x Solving 8.44 + 0.5x = 4.44 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 8.44 + 0.5x + -0.1x = 4.44 + 0.1x + -0.1x Combine like terms: 0.5x + -0.1x = 0.4x 8.44 + 0.4x = 4.44 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 8.44 + 0.4x = 4.44 + 0.0 8.44 + 0.4x = 4.44 Add '-8.44' to each side of the equation. 8.44 + -8.44 + 0.4x = 4.44 + -8.44 Combine like terms: 8.44 + -8.44 = 0.00 0.00 + 0.4x = 4.44 + -8.44 0.4x = 4.44 + -8.44 Combine like terms: 4.44 + -8.44 = -4 0.4x = -4 Divide each side by '0.4'. x = -10 Simplifying x = -10
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