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Simplifying -17 = 3x + -7(x + 7) Reorder the terms: -17 = 3x + -7(7 + x) -17 = 3x + (7 * -7 + x * -7) -17 = 3x + (-49 + -7x) Reorder the terms: -17 = -49 + 3x + -7x Combine like terms: 3x + -7x = -4x -17 = -49 + -4x Solving -17 = -49 + -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. -17 + 4x = -49 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 4x = -49 + 0 -17 + 4x = -49 Add '17' to each side of the equation. -17 + 17 + 4x = -49 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -49 + 17 4x = -49 + 17 Combine like terms: -49 + 17 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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