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Simplifying 6x + -5[2 + -1(8 + -3x)] = 0 6x + -5[2 + (8 * -1 + -3x * -1)] = 0 6x + -5[2 + (-8 + 3x)] = 0 Combine like terms: 2 + -8 = -6 6x + -5[-6 + 3x] = 0 6x + [-6 * -5 + 3x * -5] = 0 6x + [30 + -15x] = 0 Reorder the terms: 30 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x 30 + -9x = 0 Solving 30 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -9x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 0 + -30 -9x = 0 + -30 Combine like terms: 0 + -30 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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