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Simplifying -12x + -31 = 4x + 1 Reorder the terms: -31 + -12x = 4x + 1 Reorder the terms: -31 + -12x = 1 + 4x Solving -31 + -12x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + -12x + -4x = 1 + 4x + -4x Combine like terms: -12x + -4x = -16x -31 + -16x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + -16x = 1 + 0 -31 + -16x = 1 Add '31' to each side of the equation. -31 + 31 + -16x = 1 + 31 Combine like terms: -31 + 31 = 0 0 + -16x = 1 + 31 -16x = 1 + 31 Combine like terms: 1 + 31 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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