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Simplifying 7(6x + -1) + 6(-6x + 8) = 0 Reorder the terms: 7(-1 + 6x) + 6(-6x + 8) = 0 (-1 * 7 + 6x * 7) + 6(-6x + 8) = 0 (-7 + 42x) + 6(-6x + 8) = 0 Reorder the terms: -7 + 42x + 6(8 + -6x) = 0 -7 + 42x + (8 * 6 + -6x * 6) = 0 -7 + 42x + (48 + -36x) = 0 Reorder the terms: -7 + 48 + 42x + -36x = 0 Combine like terms: -7 + 48 = 41 41 + 42x + -36x = 0 Combine like terms: 42x + -36x = 6x 41 + 6x = 0 Solving 41 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 6x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 0 + -41 6x = 0 + -41 Combine like terms: 0 + -41 = -41 6x = -41 Divide each side by '6'. x = -6.833333333 Simplifying x = -6.833333333
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