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Simplifying 0.23 * 22 + 0.49x = 0.36(x + 22) Multiply 0.23 * 22 5.06 + 0.49x = 0.36(x + 22) Reorder the terms: 5.06 + 0.49x = 0.36(22 + x) 5.06 + 0.49x = (22 * 0.36 + x * 0.36) 5.06 + 0.49x = (7.92 + 0.36x) Solving 5.06 + 0.49x = 7.92 + 0.36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.36x' to each side of the equation. 5.06 + 0.49x + -0.36x = 7.92 + 0.36x + -0.36x Combine like terms: 0.49x + -0.36x = 0.13x 5.06 + 0.13x = 7.92 + 0.36x + -0.36x Combine like terms: 0.36x + -0.36x = 0.00 5.06 + 0.13x = 7.92 + 0.00 5.06 + 0.13x = 7.92 Add '-5.06' to each side of the equation. 5.06 + -5.06 + 0.13x = 7.92 + -5.06 Combine like terms: 5.06 + -5.06 = 0.00 0.00 + 0.13x = 7.92 + -5.06 0.13x = 7.92 + -5.06 Combine like terms: 7.92 + -5.06 = 2.86 0.13x = 2.86 Divide each side by '0.13'. x = 22 Simplifying x = 22
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