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Simplifying 5.3[4 + -1[8 + -1(3x + 5)] + 7] = -18.4 Reorder the terms: 5.3[4 + -1[8 + -1(5 + 3x)] + 7] = -18.4 5.3[4 + -1[8 + (5 * -1 + 3x * -1)] + 7] = -18.4 5.3[4 + -1[8 + (-5 + -3x)] + 7] = -18.4 Combine like terms: 8 + -5 = 3 5.3[4 + -1[3 + -3x] + 7] = -18.4 5.3[4 + [3 * -1 + -3x * -1] + 7] = -18.4 5.3[4 + [-3 + 3x] + 7] = -18.4 Reorder the terms: 5.3[4 + -3 + 7 + 3x] = -18.4 Combine like terms: 4 + -3 = 1 5.3[1 + 7 + 3x] = -18.4 Combine like terms: 1 + 7 = 8 5.3[8 + 3x] = -18.4 [8 * 5.3 + 3x * 5.3] = -18.4 [42.4 + 15.9x] = -18.4 Solving 42.4 + 15.9x = -18.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42.4' to each side of the equation. 42.4 + -42.4 + 15.9x = -18.4 + -42.4 Combine like terms: 42.4 + -42.4 = 0.0 0.0 + 15.9x = -18.4 + -42.4 15.9x = -18.4 + -42.4 Combine like terms: -18.4 + -42.4 = -60.8 15.9x = -60.8 Divide each side by '15.9'. x = -3.823899371 Simplifying x = -3.823899371
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