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Simplifying 0.55x + 5.63 = 0.25(4 + 2x) Reorder the terms: 5.63 + 0.55x = 0.25(4 + 2x) 5.63 + 0.55x = (4 * 0.25 + 2x * 0.25) 5.63 + 0.55x = (1 + 0.5x) Solving 5.63 + 0.55x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5.63 + 0.55x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.55x + -0.5x = 0.05x 5.63 + 0.05x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5.63 + 0.05x = 1 + 0.0 5.63 + 0.05x = 1 Add '-5.63' to each side of the equation. 5.63 + -5.63 + 0.05x = 1 + -5.63 Combine like terms: 5.63 + -5.63 = 0.00 0.00 + 0.05x = 1 + -5.63 0.05x = 1 + -5.63 Combine like terms: 1 + -5.63 = -4.63 0.05x = -4.63 Divide each side by '0.05'. x = -92.6 Simplifying x = -92.6
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