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Simplifying 0.22(x + 5) = 0.2x + 1.2 Reorder the terms: 0.22(5 + x) = 0.2x + 1.2 (5 * 0.22 + x * 0.22) = 0.2x + 1.2 (1.1 + 0.22x) = 0.2x + 1.2 Reorder the terms: 1.1 + 0.22x = 1.2 + 0.2x Solving 1.1 + 0.22x = 1.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1.1 + 0.22x + -0.2x = 1.2 + 0.2x + -0.2x Combine like terms: 0.22x + -0.2x = 0.02x 1.1 + 0.02x = 1.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.1 + 0.02x = 1.2 + 0.0 1.1 + 0.02x = 1.2 Add '-1.1' to each side of the equation. 1.1 + -1.1 + 0.02x = 1.2 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 0.02x = 1.2 + -1.1 0.02x = 1.2 + -1.1 Combine like terms: 1.2 + -1.1 = 0.1 0.02x = 0.1 Divide each side by '0.02'. x = 5 Simplifying x = 5
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