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Simplifying 8 = 8 + -7(6x + 1) Reorder the terms: 8 = 8 + -7(1 + 6x) 8 = 8 + (1 * -7 + 6x * -7) 8 = 8 + (-7 + -42x) Combine like terms: 8 + -7 = 1 8 = 1 + -42x Solving 8 = 1 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 8 + 42x = 1 + -42x + 42x Combine like terms: -42x + 42x = 0 8 + 42x = 1 + 0 8 + 42x = 1 Add '-8' to each side of the equation. 8 + -8 + 42x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 42x = 1 + -8 42x = 1 + -8 Combine like terms: 1 + -8 = -7 42x = -7 Divide each side by '42'. x = -0.1666666667 Simplifying x = -0.1666666667
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