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Simplifying -7(x + 7) = -17 + x Reorder the terms: -7(7 + x) = -17 + x (7 * -7 + x * -7) = -17 + x (-49 + -7x) = -17 + x Solving -49 + -7x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -49 + -7x + -1x = -17 + x + -1x Combine like terms: -7x + -1x = -8x -49 + -8x = -17 + x + -1x Combine like terms: x + -1x = 0 -49 + -8x = -17 + 0 -49 + -8x = -17 Add '49' to each side of the equation. -49 + 49 + -8x = -17 + 49 Combine like terms: -49 + 49 = 0 0 + -8x = -17 + 49 -8x = -17 + 49 Combine like terms: -17 + 49 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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