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Simplifying (9 + 2x) * 3 = (4x) + 11 Reorder the terms for easier multiplication: 3(9 + 2x) = (4x) + 11 (9 * 3 + 2x * 3) = (4x) + 11 (27 + 6x) = (4x) + 11 Reorder the terms: 27 + 6x = 11 + (4x) Solving 27 + 6x = 11 + (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) = 11 + (4x) + (-4x) Combine like terms: 6x + (-4x) = 2x 27 + 2x = 11 + (4x) + (-4x) Combine like terms: (4x) + (-4x) = 0 27 + 2x = 11 + 0 27 + 2x = 11 Add '-27' to each side of the equation. 27 + -27 + 2x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 11 + -27 2x = 11 + -27 Combine like terms: 11 + -27 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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