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Simplifying 3(2x + 12) = 8(4 + x) Reorder the terms: 3(12 + 2x) = 8(4 + x) (12 * 3 + 2x * 3) = 8(4 + x) (36 + 6x) = 8(4 + x) 36 + 6x = (4 * 8 + x * 8) 36 + 6x = (32 + 8x) Solving 36 + 6x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + 6x + -8x = 32 + 8x + -8x Combine like terms: 6x + -8x = -2x 36 + -2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -2x = 32 + 0 36 + -2x = 32 Add '-36' to each side of the equation. 36 + -36 + -2x = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 32 + -36 -2x = 32 + -36 Combine like terms: 32 + -36 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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