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Simplifying (2x + 6) + (x + 6) + (x + 7) = 40 Reorder the terms: (6 + 2x) + (x + 6) + (x + 7) = 40 Remove parenthesis around (6 + 2x) 6 + 2x + (x + 6) + (x + 7) = 40 Reorder the terms: 6 + 2x + (6 + x) + (x + 7) = 40 Remove parenthesis around (6 + x) 6 + 2x + 6 + x + (x + 7) = 40 Reorder the terms: 6 + 2x + 6 + x + (7 + x) = 40 Remove parenthesis around (7 + x) 6 + 2x + 6 + x + 7 + x = 40 Reorder the terms: 6 + 6 + 7 + 2x + x + x = 40 Combine like terms: 6 + 6 = 12 12 + 7 + 2x + x + x = 40 Combine like terms: 12 + 7 = 19 19 + 2x + x + x = 40 Combine like terms: 2x + x = 3x 19 + 3x + x = 40 Combine like terms: 3x + x = 4x 19 + 4x = 40 Solving 19 + 4x = 40 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 + 4x = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 40 + -19 4x = 40 + -19 Combine like terms: 40 + -19 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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