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Simplifying 12(x + 3) = 6(x + 15) Reorder the terms: 12(3 + x) = 6(x + 15) (3 * 12 + x * 12) = 6(x + 15) (36 + 12x) = 6(x + 15) Reorder the terms: 36 + 12x = 6(15 + x) 36 + 12x = (15 * 6 + x * 6) 36 + 12x = (90 + 6x) Solving 36 + 12x = 90 + 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. 36 + 12x + -6x = 90 + 6x + -6x Combine like terms: 12x + -6x = 6x 36 + 6x = 90 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 6x = 90 + 0 36 + 6x = 90 Add '-36' to each side of the equation. 36 + -36 + 6x = 90 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 90 + -36 6x = 90 + -36 Combine like terms: 90 + -36 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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