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Simplifying 5.5(8 + -1(9 + -1(2x + 5)) + 8) = -18.3 Reorder the terms: 5.5(8 + -1(9 + -1(5 + 2x)) + 8) = -18.3 5.5(8 + -1(9 + (5 * -1 + 2x * -1)) + 8) = -18.3 5.5(8 + -1(9 + (-5 + -2x)) + 8) = -18.3 Combine like terms: 9 + -5 = 4 5.5(8 + -1(4 + -2x) + 8) = -18.3 5.5(8 + (4 * -1 + -2x * -1) + 8) = -18.3 5.5(8 + (-4 + 2x) + 8) = -18.3 Reorder the terms: 5.5(8 + -4 + 8 + 2x) = -18.3 Combine like terms: 8 + -4 = 4 5.5(4 + 8 + 2x) = -18.3 Combine like terms: 4 + 8 = 12 5.5(12 + 2x) = -18.3 (12 * 5.5 + 2x * 5.5) = -18.3 (66 + 11x) = -18.3 Solving 66 + 11x = -18.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 11x = -18.3 + -66 Combine like terms: 66 + -66 = 0 0 + 11x = -18.3 + -66 11x = -18.3 + -66 Combine like terms: -18.3 + -66 = -84.3 11x = -84.3 Divide each side by '11'. x = -7.663636364 Simplifying x = -7.663636364
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