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Simplifying 9(x + -3) = 2(6x + 7) Reorder the terms: 9(-3 + x) = 2(6x + 7) (-3 * 9 + x * 9) = 2(6x + 7) (-27 + 9x) = 2(6x + 7) Reorder the terms: -27 + 9x = 2(7 + 6x) -27 + 9x = (7 * 2 + 6x * 2) -27 + 9x = (14 + 12x) Solving -27 + 9x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -27 + 9x + -12x = 14 + 12x + -12x Combine like terms: 9x + -12x = -3x -27 + -3x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + -3x = 14 + 0 -27 + -3x = 14 Add '27' to each side of the equation. -27 + 27 + -3x = 14 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 14 + 27 -3x = 14 + 27 Combine like terms: 14 + 27 = 41 -3x = 41 Divide each side by '-3'. x = -13.66666667 Simplifying x = -13.66666667
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