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Simplifying (2x + 8) + (x + 7) + (3x + -6) = 54 Reorder the terms: (8 + 2x) + (x + 7) + (3x + -6) = 54 Remove parenthesis around (8 + 2x) 8 + 2x + (x + 7) + (3x + -6) = 54 Reorder the terms: 8 + 2x + (7 + x) + (3x + -6) = 54 Remove parenthesis around (7 + x) 8 + 2x + 7 + x + (3x + -6) = 54 Reorder the terms: 8 + 2x + 7 + x + (-6 + 3x) = 54 Remove parenthesis around (-6 + 3x) 8 + 2x + 7 + x + -6 + 3x = 54 Reorder the terms: 8 + 7 + -6 + 2x + x + 3x = 54 Combine like terms: 8 + 7 = 15 15 + -6 + 2x + x + 3x = 54 Combine like terms: 15 + -6 = 9 9 + 2x + x + 3x = 54 Combine like terms: 2x + x = 3x 9 + 3x + 3x = 54 Combine like terms: 3x + 3x = 6x 9 + 6x = 54 Solving 9 + 6x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 54 + -9 6x = 54 + -9 Combine like terms: 54 + -9 = 45 6x = 45 Divide each side by '6'. x = 7.5 Simplifying x = 7.5
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