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Simplifying 2(4x + 9) + -1(x + 7) = 36 Reorder the terms: 2(9 + 4x) + -1(x + 7) = 36 (9 * 2 + 4x * 2) + -1(x + 7) = 36 (18 + 8x) + -1(x + 7) = 36 Reorder the terms: 18 + 8x + -1(7 + x) = 36 18 + 8x + (7 * -1 + x * -1) = 36 18 + 8x + (-7 + -1x) = 36 Reorder the terms: 18 + -7 + 8x + -1x = 36 Combine like terms: 18 + -7 = 11 11 + 8x + -1x = 36 Combine like terms: 8x + -1x = 7x 11 + 7x = 36 Solving 11 + 7x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 36 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 36 + -11 7x = 36 + -11 Combine like terms: 36 + -11 = 25 7x = 25 Divide each side by '7'. x = 3.571428571 Simplifying x = 3.571428571
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