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Simplifying 6x + -5[5 + -1(7 + -2x)] = 0 6x + -5[5 + (7 * -1 + -2x * -1)] = 0 6x + -5[5 + (-7 + 2x)] = 0 Combine like terms: 5 + -7 = -2 6x + -5[-2 + 2x] = 0 6x + [-2 * -5 + 2x * -5] = 0 6x + [10 + -10x] = 0 Reorder the terms: 10 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 10 + -4x = 0 Solving 10 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 0 + -10 -4x = 0 + -10 Combine like terms: 0 + -10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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