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Simplifying -17 + 41 = -4(x + 8) Combine like terms: -17 + 41 = 24 24 = -4(x + 8) Reorder the terms: 24 = -4(8 + x) 24 = (8 * -4 + x * -4) 24 = (-32 + -4x) Solving 24 = -32 + -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. 24 + 4x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 4x = -32 + 0 24 + 4x = -32 Add '-24' to each side of the equation. 24 + -24 + 4x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -32 + -24 4x = -32 + -24 Combine like terms: -32 + -24 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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