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Simplifying X + 0.07x + 0.20(x + 0.07x) = 37 Combine like terms: x + 0.07x = 1.07x X + 0.07x + 0.20(1.07x) = 37 Remove parenthesis around (1.07x) X + 0.07x + 0.20 * 1.07x = 37 Multiply 0.20 * 1.07 X + 0.07x + 0.214x = 37 Combine like terms: 0.07x + 0.214x = 0.284x X + 0.284x = 37 Solving X + 0.284x = 37 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.284x' to each side of the equation. X + 0.284x + -0.284x = 37 + -0.284x Combine like terms: 0.284x + -0.284x = 0.000 X + 0.000 = 37 + -0.284x X = 37 + -0.284x Simplifying X = 37 + -0.284x
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