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Simplifying -4x + -31 = -1(1 + -2x) + 6 Reorder the terms: -31 + -4x = -1(1 + -2x) + 6 -31 + -4x = (1 * -1 + -2x * -1) + 6 -31 + -4x = (-1 + 2x) + 6 Reorder the terms: -31 + -4x = -1 + 6 + 2x Combine like terms: -1 + 6 = 5 -31 + -4x = 5 + 2x Solving -31 + -4x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + -4x + -2x = 5 + 2x + -2x Combine like terms: -4x + -2x = -6x -31 + -6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + -6x = 5 + 0 -31 + -6x = 5 Add '31' to each side of the equation. -31 + 31 + -6x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 5 + 31 -6x = 5 + 31 Combine like terms: 5 + 31 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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