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Simplifying 12(x + 3) = 4(x + 12) + 6x Reorder the terms: 12(3 + x) = 4(x + 12) + 6x (3 * 12 + x * 12) = 4(x + 12) + 6x (36 + 12x) = 4(x + 12) + 6x Reorder the terms: 36 + 12x = 4(12 + x) + 6x 36 + 12x = (12 * 4 + x * 4) + 6x 36 + 12x = (48 + 4x) + 6x Combine like terms: 4x + 6x = 10x 36 + 12x = 48 + 10x Solving 36 + 12x = 48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 12x + -10x = 48 + 10x + -10x Combine like terms: 12x + -10x = 2x 36 + 2x = 48 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + 2x = 48 + 0 36 + 2x = 48 Add '-36' to each side of the equation. 36 + -36 + 2x = 48 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 48 + -36 2x = 48 + -36 Combine like terms: 48 + -36 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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