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Simplifying 9(x + 4) = -8x + -32 Reorder the terms: 9(4 + x) = -8x + -32 (4 * 9 + x * 9) = -8x + -32 (36 + 9x) = -8x + -32 Reorder the terms: 36 + 9x = -32 + -8x Solving 36 + 9x = -32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 36 + 9x + 8x = -32 + -8x + 8x Combine like terms: 9x + 8x = 17x 36 + 17x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + 17x = -32 + 0 36 + 17x = -32 Add '-36' to each side of the equation. 36 + -36 + 17x = -32 + -36 Combine like terms: 36 + -36 = 0 0 + 17x = -32 + -36 17x = -32 + -36 Combine like terms: -32 + -36 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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