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Simplifying 4(9 + 2x) = -8x + 4 (9 * 4 + 2x * 4) = -8x + 4 (36 + 8x) = -8x + 4 Reorder the terms: 36 + 8x = 4 + -8x Solving 36 + 8x = 4 + -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 + 8x + 8x = 4 + -8x + 8x Combine like terms: 8x + 8x = 16x 36 + 16x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + 16x = 4 + 0 36 + 16x = 4 Add '-36' to each side of the equation. 36 + -36 + 16x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + 16x = 4 + -36 16x = 4 + -36 Combine like terms: 4 + -36 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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