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Simplifying 9(x + 4x + 1) + -1(9x + 2) = 9x + 18 Reorder the terms: 9(1 + x + 4x) + -1(9x + 2) = 9x + 18 Combine like terms: x + 4x = 5x 9(1 + 5x) + -1(9x + 2) = 9x + 18 (1 * 9 + 5x * 9) + -1(9x + 2) = 9x + 18 (9 + 45x) + -1(9x + 2) = 9x + 18 Reorder the terms: 9 + 45x + -1(2 + 9x) = 9x + 18 9 + 45x + (2 * -1 + 9x * -1) = 9x + 18 9 + 45x + (-2 + -9x) = 9x + 18 Reorder the terms: 9 + -2 + 45x + -9x = 9x + 18 Combine like terms: 9 + -2 = 7 7 + 45x + -9x = 9x + 18 Combine like terms: 45x + -9x = 36x 7 + 36x = 9x + 18 Reorder the terms: 7 + 36x = 18 + 9x Solving 7 + 36x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 36x + -9x = 18 + 9x + -9x Combine like terms: 36x + -9x = 27x 7 + 27x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 27x = 18 + 0 7 + 27x = 18 Add '-7' to each side of the equation. 7 + -7 + 27x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 27x = 18 + -7 27x = 18 + -7 Combine like terms: 18 + -7 = 11 27x = 11 Divide each side by '27'. x = 0.4074074074 Simplifying x = 0.4074074074
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