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Simplifying 6(8x + 6) + -5 = 1 + 6x Reorder the terms: 6(6 + 8x) + -5 = 1 + 6x (6 * 6 + 8x * 6) + -5 = 1 + 6x (36 + 48x) + -5 = 1 + 6x Reorder the terms: 36 + -5 + 48x = 1 + 6x Combine like terms: 36 + -5 = 31 31 + 48x = 1 + 6x Solving 31 + 48x = 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 + 48x + -6x = 1 + 6x + -6x Combine like terms: 48x + -6x = 42x 31 + 42x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 42x = 1 + 0 31 + 42x = 1 Add '-31' to each side of the equation. 31 + -31 + 42x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 42x = 1 + -31 42x = 1 + -31 Combine like terms: 1 + -31 = -30 42x = -30 Divide each side by '42'. x = -0.7142857143 Simplifying x = -0.7142857143
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