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Simplifying 12 + -7(3x + 6) = 6(6 + 2x) Reorder the terms: 12 + -7(6 + 3x) = 6(6 + 2x) 12 + (6 * -7 + 3x * -7) = 6(6 + 2x) 12 + (-42 + -21x) = 6(6 + 2x) Combine like terms: 12 + -42 = -30 -30 + -21x = 6(6 + 2x) -30 + -21x = (6 * 6 + 2x * 6) -30 + -21x = (36 + 12x) Solving -30 + -21x = 36 + 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. -30 + -21x + -12x = 36 + 12x + -12x Combine like terms: -21x + -12x = -33x -30 + -33x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -33x = 36 + 0 -30 + -33x = 36 Add '30' to each side of the equation. -30 + 30 + -33x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -33x = 36 + 30 -33x = 36 + 30 Combine like terms: 36 + 30 = 66 -33x = 66 Divide each side by '-33'. x = -2 Simplifying x = -2
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