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Simplifying 4(9 + 2x) = 4x + 8 (9 * 4 + 2x * 4) = 4x + 8 (36 + 8x) = 4x + 8 Reorder the terms: 36 + 8x = 8 + 4x Solving 36 + 8x = 8 + 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. 36 + 8x + -4x = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x 36 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 4x = 8 + 0 36 + 4x = 8 Add '-36' to each side of the equation. 36 + -36 + 4x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 8 + -36 4x = 8 + -36 Combine like terms: 8 + -36 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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