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Simplifying 7 + -2[3 + -2(x + 4)] = 0 Reorder the terms: 7 + -2[3 + -2(4 + x)] = 0 7 + -2[3 + (4 * -2 + x * -2)] = 0 7 + -2[3 + (-8 + -2x)] = 0 Combine like terms: 3 + -8 = -5 7 + -2[-5 + -2x] = 0 7 + [-5 * -2 + -2x * -2] = 0 7 + [10 + 4x] = 0 Combine like terms: 7 + 10 = 17 17 + 4x = 0 Solving 17 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 0 + -17 4x = 0 + -17 Combine like terms: 0 + -17 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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