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Simplifying -5x + -2[2x + -4(x + 7)] + -6 = 0 Reorder the terms: -5x + -2[2x + -4(7 + x)] + -6 = 0 -5x + -2[2x + (7 * -4 + x * -4)] + -6 = 0 -5x + -2[2x + (-28 + -4x)] + -6 = 0 Reorder the terms: -5x + -2[-28 + 2x + -4x] + -6 = 0 Combine like terms: 2x + -4x = -2x -5x + -2[-28 + -2x] + -6 = 0 -5x + [-28 * -2 + -2x * -2] + -6 = 0 -5x + [56 + 4x] + -6 = 0 Reorder the terms: 56 + -6 + -5x + 4x = 0 Combine like terms: 56 + -6 = 50 50 + -5x + 4x = 0 Combine like terms: -5x + 4x = -1x 50 + -1x = 0 Solving 50 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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