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Simplifying 0.22(x + 9) = 0.2x + 5.8 Reorder the terms: 0.22(9 + x) = 0.2x + 5.8 (9 * 0.22 + x * 0.22) = 0.2x + 5.8 (1.98 + 0.22x) = 0.2x + 5.8 Reorder the terms: 1.98 + 0.22x = 5.8 + 0.2x Solving 1.98 + 0.22x = 5.8 + 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. 1.98 + 0.22x + -0.2x = 5.8 + 0.2x + -0.2x Combine like terms: 0.22x + -0.2x = 0.02x 1.98 + 0.02x = 5.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.98 + 0.02x = 5.8 + 0.0 1.98 + 0.02x = 5.8 Add '-1.98' to each side of the equation. 1.98 + -1.98 + 0.02x = 5.8 + -1.98 Combine like terms: 1.98 + -1.98 = 0.00 0.00 + 0.02x = 5.8 + -1.98 0.02x = 5.8 + -1.98 Combine like terms: 5.8 + -1.98 = 3.82 0.02x = 3.82 Divide each side by '0.02'. x = 191 Simplifying x = 191
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