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Simplifying -6(1 + -6x) + 4 = 7x + -31 (1 * -6 + -6x * -6) + 4 = 7x + -31 (-6 + 36x) + 4 = 7x + -31 Reorder the terms: -6 + 4 + 36x = 7x + -31 Combine like terms: -6 + 4 = -2 -2 + 36x = 7x + -31 Reorder the terms: -2 + 36x = -31 + 7x Solving -2 + 36x = -31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 36x + -7x = -31 + 7x + -7x Combine like terms: 36x + -7x = 29x -2 + 29x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 29x = -31 + 0 -2 + 29x = -31 Add '2' to each side of the equation. -2 + 2 + 29x = -31 + 2 Combine like terms: -2 + 2 = 0 0 + 29x = -31 + 2 29x = -31 + 2 Combine like terms: -31 + 2 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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