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Simplifying -6x + 6(1 + 7x) = 114 -6x + (1 * 6 + 7x * 6) = 114 -6x + (6 + 42x) = 114 Reorder the terms: 6 + -6x + 42x = 114 Combine like terms: -6x + 42x = 36x 6 + 36x = 114 Solving 6 + 36x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 36x = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 36x = 114 + -6 36x = 114 + -6 Combine like terms: 114 + -6 = 108 36x = 108 Divide each side by '36'. x = 3 Simplifying x = 3
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