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Simplifying 6(x + 3) + -9(x + -1) = 5 + -1(X + 3) Reorder the terms: 6(3 + x) + -9(x + -1) = 5 + -1(X + 3) (3 * 6 + x * 6) + -9(x + -1) = 5 + -1(X + 3) (18 + 6x) + -9(x + -1) = 5 + -1(X + 3) Reorder the terms: 18 + 6x + -9(-1 + x) = 5 + -1(X + 3) 18 + 6x + (-1 * -9 + x * -9) = 5 + -1(X + 3) 18 + 6x + (9 + -9x) = 5 + -1(X + 3) Reorder the terms: 18 + 9 + 6x + -9x = 5 + -1(X + 3) Combine like terms: 18 + 9 = 27 27 + 6x + -9x = 5 + -1(X + 3) Combine like terms: 6x + -9x = -3x 27 + -3x = 5 + -1(X + 3) Reorder the terms: 27 + -3x = 5 + -1(3 + X) 27 + -3x = 5 + (3 * -1 + X * -1) 27 + -3x = 5 + (-3 + -1X) Combine like terms: 5 + -3 = 2 27 + -3x = 2 + -1X Solving 27 + -3x = 2 + -1X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -3x = 2 + -27 + -1X Combine like terms: 27 + -27 = 0 0 + -3x = 2 + -27 + -1X -3x = 2 + -27 + -1X Combine like terms: 2 + -27 = -25 -3x = -25 + -1X Divide each side by '-3'. x = 8.333333333 + 0.3333333333X Simplifying x = 8.333333333 + 0.3333333333X
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