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Simplifying 12(x + 3) = 7(x + 3) Reorder the terms: 12(3 + x) = 7(x + 3) (3 * 12 + x * 12) = 7(x + 3) (36 + 12x) = 7(x + 3) Reorder the terms: 36 + 12x = 7(3 + x) 36 + 12x = (3 * 7 + x * 7) 36 + 12x = (21 + 7x) Solving 36 + 12x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 12x + -7x = 21 + 7x + -7x Combine like terms: 12x + -7x = 5x 36 + 5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 5x = 21 + 0 36 + 5x = 21 Add '-36' to each side of the equation. 36 + -36 + 5x = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 5x = 21 + -36 5x = 21 + -36 Combine like terms: 21 + -36 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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