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Simplifying [(x + 29.2) * 0.3 + 4] * 0.11 = 1991 Reorder the terms: [(29.2 + x) * 0.3 + 4] * 0.11 = 1991 Reorder the terms for easier multiplication: [0.3(29.2 + x) + 4] * 0.11 = 1991 [(29.2 * 0.3 + x * 0.3) + 4] * 0.11 = 1991 [(8.76 + 0.3x) + 4] * 0.11 = 1991 Reorder the terms: [8.76 + 4 + 0.3x] * 0.11 = 1991 Combine like terms: 8.76 + 4 = 12.76 [12.76 + 0.3x] * 0.11 = 1991 Reorder the terms for easier multiplication: 0.11[12.76 + 0.3x] = 1991 [12.76 * 0.11 + 0.3x * 0.11] = 1991 [1.4036 + 0.033x] = 1991 Solving 1.4036 + 0.033x = 1991 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4036' to each side of the equation. 1.4036 + -1.4036 + 0.033x = 1991 + -1.4036 Combine like terms: 1.4036 + -1.4036 = 0.0000 0.0000 + 0.033x = 1991 + -1.4036 0.033x = 1991 + -1.4036 Combine like terms: 1991 + -1.4036 = 1989.5964 0.033x = 1989.5964 Divide each side by '0.033'. x = 60290.8 Simplifying x = 60290.8
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