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Simplifying 3(2x + 9) + -4(x + 1) = 0 Reorder the terms: 3(9 + 2x) + -4(x + 1) = 0 (9 * 3 + 2x * 3) + -4(x + 1) = 0 (27 + 6x) + -4(x + 1) = 0 Reorder the terms: 27 + 6x + -4(1 + x) = 0 27 + 6x + (1 * -4 + x * -4) = 0 27 + 6x + (-4 + -4x) = 0 Reorder the terms: 27 + -4 + 6x + -4x = 0 Combine like terms: 27 + -4 = 23 23 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 23 + 2x = 0 Solving 23 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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