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Simplifying 538.20 = 36(x + 2.95) Reorder the terms: 538.20 = 36(2.95 + x) 538.20 = (2.95 * 36 + x * 36) 538.20 = (106.2 + 36x) Solving 538.20 = 106.2 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 538.20 + -36x = 106.2 + 36x + -36x Combine like terms: 36x + -36x = 0 538.20 + -36x = 106.2 + 0 538.20 + -36x = 106.2 Add '-538.20' to each side of the equation. 538.20 + -538.20 + -36x = 106.2 + -538.20 Combine like terms: 538.20 + -538.20 = 0.00 0.00 + -36x = 106.2 + -538.20 -36x = 106.2 + -538.20 Combine like terms: 106.2 + -538.20 = -432 -36x = -432 Divide each side by '-36'. x = 12 Simplifying x = 12
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