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Simplifying 3(9 + -2x + -9x) + 4(7x + 6) = 26 Combine like terms: -2x + -9x = -11x 3(9 + -11x) + 4(7x + 6) = 26 (9 * 3 + -11x * 3) + 4(7x + 6) = 26 (27 + -33x) + 4(7x + 6) = 26 Reorder the terms: 27 + -33x + 4(6 + 7x) = 26 27 + -33x + (6 * 4 + 7x * 4) = 26 27 + -33x + (24 + 28x) = 26 Reorder the terms: 27 + 24 + -33x + 28x = 26 Combine like terms: 27 + 24 = 51 51 + -33x + 28x = 26 Combine like terms: -33x + 28x = -5x 51 + -5x = 26 Solving 51 + -5x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -5x = 26 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = 26 + -51 -5x = 26 + -51 Combine like terms: 26 + -51 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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