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Simplifying X + 3(x + 12) = 12(1 + x) Reorder the terms: X + 3(12 + x) = 12(1 + x) X + (12 * 3 + x * 3) = 12(1 + x) X + (36 + 3x) = 12(1 + x) Reorder the terms: 36 + X + 3x = 12(1 + x) 36 + X + 3x = (1 * 12 + x * 12) 36 + X + 3x = (12 + 12x) Solving 36 + X + 3x = 12 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + X + -36 + 3x = 12 + -36 + 12x Reorder the terms: 36 + -36 + X + 3x = 12 + -36 + 12x Combine like terms: 36 + -36 = 0 0 + X + 3x = 12 + -36 + 12x X + 3x = 12 + -36 + 12x Combine like terms: 12 + -36 = -24 X + 3x = -24 + 12x Add '-3x' to each side of the equation. X + 3x + -3x = -24 + 12x + -3x Combine like terms: 3x + -3x = 0 X + 0 = -24 + 12x + -3x X = -24 + 12x + -3x Combine like terms: 12x + -3x = 9x X = -24 + 9x Simplifying X = -24 + 9x
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