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Simplifying X + -0.2 + 0.06(x + -0.2x) = 66.91 Combine like terms: x + -0.2x = 0.8x X + -0.2 + 0.06(0.8x) = 66.91 Remove parenthesis around (0.8x) X + -0.2 + 0.06 * 0.8x = 66.91 Multiply 0.06 * 0.8 X + -0.2 + 0.048x = 66.91 Reorder the terms: -0.2 + X + 0.048x = 66.91 Solving -0.2 + X + 0.048x = 66.91 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + X + 0.2 + 0.048x = 66.91 + 0.2 Reorder the terms: -0.2 + 0.2 + X + 0.048x = 66.91 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + X + 0.048x = 66.91 + 0.2 X + 0.048x = 66.91 + 0.2 Combine like terms: 66.91 + 0.2 = 67.11 X + 0.048x = 67.11 Add '-0.048x' to each side of the equation. X + 0.048x + -0.048x = 67.11 + -0.048x Combine like terms: 0.048x + -0.048x = 0.000 X + 0.000 = 67.11 + -0.048x X = 67.11 + -0.048x Simplifying X = 67.11 + -0.048x
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