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Simplifying -131 = -6(1 + -7x) + 1 -131 = (1 * -6 + -7x * -6) + 1 -131 = (-6 + 42x) + 1 Reorder the terms: -131 = -6 + 1 + 42x Combine like terms: -6 + 1 = -5 -131 = -5 + 42x Solving -131 = -5 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -131 + -42x = -5 + 42x + -42x Combine like terms: 42x + -42x = 0 -131 + -42x = -5 + 0 -131 + -42x = -5 Add '131' to each side of the equation. -131 + 131 + -42x = -5 + 131 Combine like terms: -131 + 131 = 0 0 + -42x = -5 + 131 -42x = -5 + 131 Combine like terms: -5 + 131 = 126 -42x = 126 Divide each side by '-42'. x = -3 Simplifying x = -3
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