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Simplifying (9 + 2x) * 3 = 4x + 13 Reorder the terms for easier multiplication: 3(9 + 2x) = 4x + 13 (9 * 3 + 2x * 3) = 4x + 13 (27 + 6x) = 4x + 13 Reorder the terms: 27 + 6x = 13 + 4x Solving 27 + 6x = 13 + 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. 27 + 6x + -4x = 13 + 4x + -4x Combine like terms: 6x + -4x = 2x 27 + 2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 2x = 13 + 0 27 + 2x = 13 Add '-27' to each side of the equation. 27 + -27 + 2x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 13 + -27 2x = 13 + -27 Combine like terms: 13 + -27 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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