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Simplifying 4x = 76 + (x + 2) + (x + 4) Reorder the terms: 4x = 76 + (2 + x) + (x + 4) Remove parenthesis around (2 + x) 4x = 76 + 2 + x + (x + 4) Reorder the terms: 4x = 76 + 2 + x + (4 + x) Remove parenthesis around (4 + x) 4x = 76 + 2 + x + 4 + x Reorder the terms: 4x = 76 + 2 + 4 + x + x Combine like terms: 76 + 2 = 78 4x = 78 + 4 + x + x Combine like terms: 78 + 4 = 82 4x = 82 + x + x Combine like terms: x + x = 2x 4x = 82 + 2x Solving 4x = 82 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 82 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 82 + 0 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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