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Simplifying 6(6 + 5x) = 1 + -5x (6 * 6 + 5x * 6) = 1 + -5x (36 + 30x) = 1 + -5x Solving 36 + 30x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + 30x + 5x = 1 + -5x + 5x Combine like terms: 30x + 5x = 35x 36 + 35x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 35x = 1 + 0 36 + 35x = 1 Add '-36' to each side of the equation. 36 + -36 + 35x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 35x = 1 + -36 35x = 1 + -36 Combine like terms: 1 + -36 = -35 35x = -35 Divide each side by '35'. x = -1 Simplifying x = -1
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