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Simplifying 3(4X + 2) + -7x = 4 + 5x + 2 Reorder the terms: 3(2 + 4X) + -7x = 4 + 5x + 2 (2 * 3 + 4X * 3) + -7x = 4 + 5x + 2 (6 + 12X) + -7x = 4 + 5x + 2 Reorder the terms: 6 + 12X + -7x = 4 + 2 + 5x Combine like terms: 4 + 2 = 6 6 + 12X + -7x = 6 + 5x Add '-6' to each side of the equation. 6 + 12X + -6 + -7x = 6 + -6 + 5x Reorder the terms: 6 + -6 + 12X + -7x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + 12X + -7x = 6 + -6 + 5x 12X + -7x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 12X + -7x = 0 + 5x 12X + -7x = 5x Solving 12X + -7x = 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7x' to each side of the equation. 12X + -7x + 7x = 5x + 7x Combine like terms: -7x + 7x = 0 12X + 0 = 5x + 7x 12X = 5x + 7x Combine like terms: 5x + 7x = 12x 12X = 12x Divide each side by '12'. X = x Simplifying X = x
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