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Simplifying (9 + 2x) * 4 = 18 + 6x Reorder the terms for easier multiplication: 4(9 + 2x) = 18 + 6x (9 * 4 + 2x * 4) = 18 + 6x (36 + 8x) = 18 + 6x Solving 36 + 8x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 8x + -6x = 18 + 6x + -6x Combine like terms: 8x + -6x = 2x 36 + 2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 2x = 18 + 0 36 + 2x = 18 Add '-36' to each side of the equation. 36 + -36 + 2x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 18 + -36 2x = 18 + -36 Combine like terms: 18 + -36 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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