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Simplifying 7x + 2 = 4x + 47 Reorder the terms: 2 + 7x = 4x + 47 Reorder the terms: 2 + 7x = 47 + 4x Solving 2 + 7x = 47 + 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. 2 + 7x + -4x = 47 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = 47 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = 47 + 0 2 + 3x = 47 Add '-2' to each side of the equation. 2 + -2 + 3x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 47 + -2 3x = 47 + -2 Combine like terms: 47 + -2 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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