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Simplifying -7(x + 7) = -9x + -31 Reorder the terms: -7(7 + x) = -9x + -31 (7 * -7 + x * -7) = -9x + -31 (-49 + -7x) = -9x + -31 Reorder the terms: -49 + -7x = -31 + -9x Solving -49 + -7x = -31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -49 + -7x + 9x = -31 + -9x + 9x Combine like terms: -7x + 9x = 2x -49 + 2x = -31 + -9x + 9x Combine like terms: -9x + 9x = 0 -49 + 2x = -31 + 0 -49 + 2x = -31 Add '49' to each side of the equation. -49 + 49 + 2x = -31 + 49 Combine like terms: -49 + 49 = 0 0 + 2x = -31 + 49 2x = -31 + 49 Combine like terms: -31 + 49 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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