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Simplifying 0.22(x + 6) = 0.2 + 3.6 Reorder the terms: 0.22(6 + x) = 0.2 + 3.6 (6 * 0.22 + x * 0.22) = 0.2 + 3.6 (1.32 + 0.22x) = 0.2 + 3.6 Combine like terms: 0.2 + 3.6 = 3.8 1.32 + 0.22x = 3.8 Solving 1.32 + 0.22x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.32' to each side of the equation. 1.32 + -1.32 + 0.22x = 3.8 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + 0.22x = 3.8 + -1.32 0.22x = 3.8 + -1.32 Combine like terms: 3.8 + -1.32 = 2.48 0.22x = 2.48 Divide each side by '0.22'. x = 11.27272727 Simplifying x = 11.27272727
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