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Simplifying 12(x + 3) = 4(x + 12) + 6 Reorder the terms: 12(3 + x) = 4(x + 12) + 6 (3 * 12 + x * 12) = 4(x + 12) + 6 (36 + 12x) = 4(x + 12) + 6 Reorder the terms: 36 + 12x = 4(12 + x) + 6 36 + 12x = (12 * 4 + x * 4) + 6 36 + 12x = (48 + 4x) + 6 Reorder the terms: 36 + 12x = 48 + 6 + 4x Combine like terms: 48 + 6 = 54 36 + 12x = 54 + 4x Solving 36 + 12x = 54 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + 12x + -4x = 54 + 4x + -4x Combine like terms: 12x + -4x = 8x 36 + 8x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 8x = 54 + 0 36 + 8x = 54 Add '-36' to each side of the equation. 36 + -36 + 8x = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 54 + -36 8x = 54 + -36 Combine like terms: 54 + -36 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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