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Simplifying 66 = (100 + -1(100x)) + ((100 + -1(100x)) * 0.10) Remove parenthesis around (100x) 66 = (100 + -1 * 100x) + ((100 + -1(100x)) * 0.10) Multiply -1 * 100 66 = (100 + -100x) + ((100 + -1(100x)) * 0.10) Remove parenthesis around (100 + -100x) 66 = 100 + -100x + ((100 + -1(100x)) * 0.10) Remove parenthesis around (100x) 66 = 100 + -100x + ((100 + -1 * 100x) * 0.10) Multiply -1 * 100 66 = 100 + -100x + ((100 + -100x) * 0.10) Reorder the terms for easier multiplication: 66 = 100 + -100x + (0.10(100 + -100x)) 66 = 100 + -100x + ((100 * 0.10 + -100x * 0.10)) 66 = 100 + -100x + ((10 + -10x)) 66 = 100 + -100x + (10 + -10x) Remove parenthesis around (10 + -10x) 66 = 100 + -100x + 10 + -10x Reorder the terms: 66 = 100 + 10 + -100x + -10x Combine like terms: 100 + 10 = 110 66 = 110 + -100x + -10x Combine like terms: -100x + -10x = -110x 66 = 110 + -110x Solving 66 = 110 + -110x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '110x' to each side of the equation. 66 + 110x = 110 + -110x + 110x Combine like terms: -110x + 110x = 0 66 + 110x = 110 + 0 66 + 110x = 110 Add '-66' to each side of the equation. 66 + -66 + 110x = 110 + -66 Combine like terms: 66 + -66 = 0 0 + 110x = 110 + -66 110x = 110 + -66 Combine like terms: 110 + -66 = 44 110x = 44 Divide each side by '110'. x = 0.4 Simplifying x = 0.4
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