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Simplifying 55 + 7x = 82 + 4x Solving 55 + 7x = 82 + 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. 55 + 7x + -4x = 82 + 4x + -4x Combine like terms: 7x + -4x = 3x 55 + 3x = 82 + 4x + -4x Combine like terms: 4x + -4x = 0 55 + 3x = 82 + 0 55 + 3x = 82 Add '-55' to each side of the equation. 55 + -55 + 3x = 82 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = 82 + -55 3x = 82 + -55 Combine like terms: 82 + -55 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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