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Simplifying 6(6x + 6) + -5 = 1 + 6x Reorder the terms: 6(6 + 6x) + -5 = 1 + 6x (6 * 6 + 6x * 6) + -5 = 1 + 6x (36 + 36x) + -5 = 1 + 6x Reorder the terms: 36 + -5 + 36x = 1 + 6x Combine like terms: 36 + -5 = 31 31 + 36x = 1 + 6x Solving 31 + 36x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 36x + -6x = 1 + 6x + -6x Combine like terms: 36x + -6x = 30x 31 + 30x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 30x = 1 + 0 31 + 30x = 1 Add '-31' to each side of the equation. 31 + -31 + 30x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30x = 1 + -31 30x = 1 + -31 Combine like terms: 1 + -31 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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