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Simplifying -17 + 49 = -4(x + 6) Combine like terms: -17 + 49 = 32 32 = -4(x + 6) Reorder the terms: 32 = -4(6 + x) 32 = (6 * -4 + x * -4) 32 = (-24 + -4x) Solving 32 = -24 + -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. 32 + 4x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + 4x = -24 + 0 32 + 4x = -24 Add '-32' to each side of the equation. 32 + -32 + 4x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = -24 + -32 4x = -24 + -32 Combine like terms: -24 + -32 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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