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Simplifying 6x + 8 = 1 + -6(6x + -18) Reorder the terms: 8 + 6x = 1 + -6(6x + -18) Reorder the terms: 8 + 6x = 1 + -6(-18 + 6x) 8 + 6x = 1 + (-18 * -6 + 6x * -6) 8 + 6x = 1 + (108 + -36x) Combine like terms: 1 + 108 = 109 8 + 6x = 109 + -36x Solving 8 + 6x = 109 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 8 + 6x + 36x = 109 + -36x + 36x Combine like terms: 6x + 36x = 42x 8 + 42x = 109 + -36x + 36x Combine like terms: -36x + 36x = 0 8 + 42x = 109 + 0 8 + 42x = 109 Add '-8' to each side of the equation. 8 + -8 + 42x = 109 + -8 Combine like terms: 8 + -8 = 0 0 + 42x = 109 + -8 42x = 109 + -8 Combine like terms: 109 + -8 = 101 42x = 101 Divide each side by '42'. x = 2.404761905 Simplifying x = 2.404761905
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