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Simplifying -7(x + 7) = 4x + 17 Reorder the terms: -7(7 + x) = 4x + 17 (7 * -7 + x * -7) = 4x + 17 (-49 + -7x) = 4x + 17 Reorder the terms: -49 + -7x = 17 + 4x Solving -49 + -7x = 17 + 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. -49 + -7x + -4x = 17 + 4x + -4x Combine like terms: -7x + -4x = -11x -49 + -11x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -49 + -11x = 17 + 0 -49 + -11x = 17 Add '49' to each side of the equation. -49 + 49 + -11x = 17 + 49 Combine like terms: -49 + 49 = 0 0 + -11x = 17 + 49 -11x = 17 + 49 Combine like terms: 17 + 49 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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