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Simplifying 6x + -4[5x + -1(7 + -4x)] = 0 6x + -4[5x + (7 * -1 + -4x * -1)] = 0 6x + -4[5x + (-7 + 4x)] = 0 Reorder the terms: 6x + -4[-7 + 5x + 4x] = 0 Combine like terms: 5x + 4x = 9x 6x + -4[-7 + 9x] = 0 6x + [-7 * -4 + 9x * -4] = 0 6x + [28 + -36x] = 0 Reorder the terms: 28 + 6x + -36x = 0 Combine like terms: 6x + -36x = -30x 28 + -30x = 0 Solving 28 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -30x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -30x = 0 + -28 -30x = 0 + -28 Combine like terms: 0 + -28 = -28 -30x = -28 Divide each side by '-30'. x = 0.9333333333 Simplifying x = 0.9333333333
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