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Simplifying 8 + 2[5 + -3(x + -8)] = 0 Reorder the terms: 8 + 2[5 + -3(-8 + x)] = 0 8 + 2[5 + (-8 * -3 + x * -3)] = 0 8 + 2[5 + (24 + -3x)] = 0 Combine like terms: 5 + 24 = 29 8 + 2[29 + -3x] = 0 8 + [29 * 2 + -3x * 2] = 0 8 + [58 + -6x] = 0 Combine like terms: 8 + 58 = 66 66 + -6x = 0 Solving 66 + -6x = 0 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 + -6x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -6x = 0 + -66 -6x = 0 + -66 Combine like terms: 0 + -66 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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