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Simplifying 6[5 + -1(6x + -5)] + 7x = 0 Reorder the terms: 6[5 + -1(-5 + 6x)] + 7x = 0 6[5 + (-5 * -1 + 6x * -1)] + 7x = 0 6[5 + (5 + -6x)] + 7x = 0 Combine like terms: 5 + 5 = 10 6[10 + -6x] + 7x = 0 [10 * 6 + -6x * 6] + 7x = 0 [60 + -36x] + 7x = 0 Combine like terms: -36x + 7x = -29x 60 + -29x = 0 Solving 60 + -29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -29x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -29x = 0 + -60 -29x = 0 + -60 Combine like terms: 0 + -60 = -60 -29x = -60 Divide each side by '-29'. x = 2.068965517 Simplifying x = 2.068965517
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