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Simplifying 1.66 = x + (x + -0.7)(0.6)(0.33) Reorder the terms: 1.66 = x + (-0.7 + x)(0.6)(0.33) Reorder the terms for easier multiplication: 1.66 = x + 0.6 * 0.33(-0.7 + x) Multiply 0.6 * 0.33 1.66 = x + 0.198(-0.7 + x) 1.66 = x + (-0.7 * 0.198 + x * 0.198) 1.66 = x + (-0.1386 + 0.198x) Reorder the terms: 1.66 = -0.1386 + x + 0.198x Combine like terms: x + 0.198x = 1.198x 1.66 = -0.1386 + 1.198x Solving 1.66 = -0.1386 + 1.198x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.198x' to each side of the equation. 1.66 + -1.198x = -0.1386 + 1.198x + -1.198x Combine like terms: 1.198x + -1.198x = 0.000 1.66 + -1.198x = -0.1386 + 0.000 1.66 + -1.198x = -0.1386 Add '-1.66' to each side of the equation. 1.66 + -1.66 + -1.198x = -0.1386 + -1.66 Combine like terms: 1.66 + -1.66 = 0.00 0.00 + -1.198x = -0.1386 + -1.66 -1.198x = -0.1386 + -1.66 Combine like terms: -0.1386 + -1.66 = -1.7986 -1.198x = -1.7986 Divide each side by '-1.198'. x = 1.501335559 Simplifying x = 1.501335559
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