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Simplifying 7 + -6(7x + 1) = 127 Reorder the terms: 7 + -6(1 + 7x) = 127 7 + (1 * -6 + 7x * -6) = 127 7 + (-6 + -42x) = 127 Combine like terms: 7 + -6 = 1 1 + -42x = 127 Solving 1 + -42x = 127 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -42x = 127 + -1 Combine like terms: 1 + -1 = 0 0 + -42x = 127 + -1 -42x = 127 + -1 Combine like terms: 127 + -1 = 126 -42x = 126 Divide each side by '-42'. x = -3 Simplifying x = -3
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