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Simplifying 6x + -2[4 + -1(7 + -5x)] = 0 6x + -2[4 + (7 * -1 + -5x * -1)] = 0 6x + -2[4 + (-7 + 5x)] = 0 Combine like terms: 4 + -7 = -3 6x + -2[-3 + 5x] = 0 6x + [-3 * -2 + 5x * -2] = 0 6x + [6 + -10x] = 0 Reorder the terms: 6 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 6 + -4x = 0 Solving 6 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 0 + -6 -4x = 0 + -6 Combine like terms: 0 + -6 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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