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Simplifying 6x + -3(x + 9) = 9 + 2(3x + -1) Reorder the terms: 6x + -3(9 + x) = 9 + 2(3x + -1) 6x + (9 * -3 + x * -3) = 9 + 2(3x + -1) 6x + (-27 + -3x) = 9 + 2(3x + -1) Reorder the terms: -27 + 6x + -3x = 9 + 2(3x + -1) Combine like terms: 6x + -3x = 3x -27 + 3x = 9 + 2(3x + -1) Reorder the terms: -27 + 3x = 9 + 2(-1 + 3x) -27 + 3x = 9 + (-1 * 2 + 3x * 2) -27 + 3x = 9 + (-2 + 6x) Combine like terms: 9 + -2 = 7 -27 + 3x = 7 + 6x Solving -27 + 3x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 3x + -6x = 7 + 6x + -6x Combine like terms: 3x + -6x = -3x -27 + -3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -3x = 7 + 0 -27 + -3x = 7 Add '27' to each side of the equation. -27 + 27 + -3x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 7 + 27 -3x = 7 + 27 Combine like terms: 7 + 27 = 34 -3x = 34 Divide each side by '-3'. x = -11.33333333 Simplifying x = -11.33333333
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