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Simplifying 12(x + 3) = 2(x + 7) Reorder the terms: 12(3 + x) = 2(x + 7) (3 * 12 + x * 12) = 2(x + 7) (36 + 12x) = 2(x + 7) Reorder the terms: 36 + 12x = 2(7 + x) 36 + 12x = (7 * 2 + x * 2) 36 + 12x = (14 + 2x) Solving 36 + 12x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 12x + -2x = 14 + 2x + -2x Combine like terms: 12x + -2x = 10x 36 + 10x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 10x = 14 + 0 36 + 10x = 14 Add '-36' to each side of the equation. 36 + -36 + 10x = 14 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 14 + -36 10x = 14 + -36 Combine like terms: 14 + -36 = -22 10x = -22 Divide each side by '10'. x = -2.2 Simplifying x = -2.2
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