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Simplifying -31 + -9x = 7x + 1 Reorder the terms: -31 + -9x = 1 + 7x Solving -31 + -9x = 1 + 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. -31 + -9x + -7x = 1 + 7x + -7x Combine like terms: -9x + -7x = -16x -31 + -16x = 1 + 7x + -7x Combine like terms: 7x + -7x = 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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