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Simplifying 5x + -5[6 + -1(7 + -2x)] = 0 5x + -5[6 + (7 * -1 + -2x * -1)] = 0 5x + -5[6 + (-7 + 2x)] = 0 Combine like terms: 6 + -7 = -1 5x + -5[-1 + 2x] = 0 5x + [-1 * -5 + 2x * -5] = 0 5x + [5 + -10x] = 0 Reorder the terms: 5 + 5x + -10x = 0 Combine like terms: 5x + -10x = -5x 5 + -5x = 0 Solving 5 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 0 + -5 -5x = 0 + -5 Combine like terms: 0 + -5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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