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Simplifying 3(x + -9) = 2(3x + -4) Reorder the terms: 3(-9 + x) = 2(3x + -4) (-9 * 3 + x * 3) = 2(3x + -4) (-27 + 3x) = 2(3x + -4) Reorder the terms: -27 + 3x = 2(-4 + 3x) -27 + 3x = (-4 * 2 + 3x * 2) -27 + 3x = (-8 + 6x) Solving -27 + 3x = -8 + 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 = -8 + 6x + -6x Combine like terms: 3x + -6x = -3x -27 + -3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -3x = -8 + 0 -27 + -3x = -8 Add '27' to each side of the equation. -27 + 27 + -3x = -8 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = -8 + 27 -3x = -8 + 27 Combine like terms: -8 + 27 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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