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Simplifying 3(3x + 4) = 2(3x + -6) Reorder the terms: 3(4 + 3x) = 2(3x + -6) (4 * 3 + 3x * 3) = 2(3x + -6) (12 + 9x) = 2(3x + -6) Reorder the terms: 12 + 9x = 2(-6 + 3x) 12 + 9x = (-6 * 2 + 3x * 2) 12 + 9x = (-12 + 6x) Solving 12 + 9x = -12 + 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. 12 + 9x + -6x = -12 + 6x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 3x = -12 + 0 12 + 3x = -12 Add '-12' to each side of the equation. 12 + -12 + 3x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -12 + -12 3x = -12 + -12 Combine like terms: -12 + -12 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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