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Simplifying 5(x + 6) + (2x + -7) = 54 Reorder the terms: 5(6 + x) + (2x + -7) = 54 (6 * 5 + x * 5) + (2x + -7) = 54 (30 + 5x) + (2x + -7) = 54 Reorder the terms: 30 + 5x + (-7 + 2x) = 54 Remove parenthesis around (-7 + 2x) 30 + 5x + -7 + 2x = 54 Reorder the terms: 30 + -7 + 5x + 2x = 54 Combine like terms: 30 + -7 = 23 23 + 5x + 2x = 54 Combine like terms: 5x + 2x = 7x 23 + 7x = 54 Solving 23 + 7x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 54 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 54 + -23 7x = 54 + -23 Combine like terms: 54 + -23 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
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