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Simplifying 4(2x + 8) = -49 + 17 Reorder the terms: 4(8 + 2x) = -49 + 17 (8 * 4 + 2x * 4) = -49 + 17 (32 + 8x) = -49 + 17 Combine like terms: -49 + 17 = -32 32 + 8x = -32 Solving 32 + 8x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8x = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -32 + -32 8x = -32 + -32 Combine like terms: -32 + -32 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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