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Simplifying -5 + -2[2x + -4(x + 7)] + -6 = 0 Reorder the terms: -5 + -2[2x + -4(7 + x)] + -6 = 0 -5 + -2[2x + (7 * -4 + x * -4)] + -6 = 0 -5 + -2[2x + (-28 + -4x)] + -6 = 0 Reorder the terms: -5 + -2[-28 + 2x + -4x] + -6 = 0 Combine like terms: 2x + -4x = -2x -5 + -2[-28 + -2x] + -6 = 0 -5 + [-28 * -2 + -2x * -2] + -6 = 0 -5 + [56 + 4x] + -6 = 0 Reorder the terms: -5 + 56 + -6 + 4x = 0 Combine like terms: -5 + 56 = 51 51 + -6 + 4x = 0 Combine like terms: 51 + -6 = 45 45 + 4x = 0 Solving 45 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 0 + -45 4x = 0 + -45 Combine like terms: 0 + -45 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25
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