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Simplifying 3x + 2(3x + -6) = -4(3x + -6) Reorder the terms: 3x + 2(-6 + 3x) = -4(3x + -6) 3x + (-6 * 2 + 3x * 2) = -4(3x + -6) 3x + (-12 + 6x) = -4(3x + -6) Reorder the terms: -12 + 3x + 6x = -4(3x + -6) Combine like terms: 3x + 6x = 9x -12 + 9x = -4(3x + -6) Reorder the terms: -12 + 9x = -4(-6 + 3x) -12 + 9x = (-6 * -4 + 3x * -4) -12 + 9x = (24 + -12x) Solving -12 + 9x = 24 + -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. -12 + 9x + 12x = 24 + -12x + 12x Combine like terms: 9x + 12x = 21x -12 + 21x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 21x = 24 + 0 -12 + 21x = 24 Add '12' to each side of the equation. -12 + 12 + 21x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 21x = 24 + 12 21x = 24 + 12 Combine like terms: 24 + 12 = 36 21x = 36 Divide each side by '21'. x = 1.714285714 Simplifying x = 1.714285714
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