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Simplifying 3(4x + 7) = 2(3x + -6) Reorder the terms: 3(7 + 4x) = 2(3x + -6) (7 * 3 + 4x * 3) = 2(3x + -6) (21 + 12x) = 2(3x + -6) Reorder the terms: 21 + 12x = 2(-6 + 3x) 21 + 12x = (-6 * 2 + 3x * 2) 21 + 12x = (-12 + 6x) Solving 21 + 12x = -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. 21 + 12x + -6x = -12 + 6x + -6x Combine like terms: 12x + -6x = 6x 21 + 6x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 6x = -12 + 0 21 + 6x = -12 Add '-21' to each side of the equation. 21 + -21 + 6x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -12 + -21 6x = -12 + -21 Combine like terms: -12 + -21 = -33 6x = -33 Divide each side by '6'. x = -5.5 Simplifying x = -5.5
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