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Simplifying 3(2x + 9) + -4x + 11 = -20 Reorder the terms: 3(9 + 2x) + -4x + 11 = -20 (9 * 3 + 2x * 3) + -4x + 11 = -20 (27 + 6x) + -4x + 11 = -20 Reorder the terms: 27 + 11 + 6x + -4x = -20 Combine like terms: 27 + 11 = 38 38 + 6x + -4x = -20 Combine like terms: 6x + -4x = 2x 38 + 2x = -20 Solving 38 + 2x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2x = -20 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = -20 + -38 2x = -20 + -38 Combine like terms: -20 + -38 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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