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Simplifying 3(x + 4) = -2(3 + -6x) Reorder the terms: 3(4 + x) = -2(3 + -6x) (4 * 3 + x * 3) = -2(3 + -6x) (12 + 3x) = -2(3 + -6x) 12 + 3x = (3 * -2 + -6x * -2) 12 + 3x = (-6 + 12x) Solving 12 + 3x = -6 + 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 + 3x + -12x = -6 + 12x + -12x Combine like terms: 3x + -12x = -9x 12 + -9x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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