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Simplifying 3x + 2 + 4x + 5 + 7x + 12 = 47 Reorder the terms: 2 + 5 + 12 + 3x + 4x + 7x = 47 Combine like terms: 2 + 5 = 7 7 + 12 + 3x + 4x + 7x = 47 Combine like terms: 7 + 12 = 19 19 + 3x + 4x + 7x = 47 Combine like terms: 3x + 4x = 7x 19 + 7x + 7x = 47 Combine like terms: 7x + 7x = 14x 19 + 14x = 47 Solving 19 + 14x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 14x = 47 + -19 Combine like terms: 19 + -19 = 0 0 + 14x = 47 + -19 14x = 47 + -19 Combine like terms: 47 + -19 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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