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Simplifying (7.5x + 22) + -1(6x + 5) = 56 Reorder the terms: (22 + 7.5x) + -1(6x + 5) = 56 Remove parenthesis around (22 + 7.5x) 22 + 7.5x + -1(6x + 5) = 56 Reorder the terms: 22 + 7.5x + -1(5 + 6x) = 56 22 + 7.5x + (5 * -1 + 6x * -1) = 56 22 + 7.5x + (-5 + -6x) = 56 Reorder the terms: 22 + -5 + 7.5x + -6x = 56 Combine like terms: 22 + -5 = 17 17 + 7.5x + -6x = 56 Combine like terms: 7.5x + -6x = 1.5x 17 + 1.5x = 56 Solving 17 + 1.5x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1.5x = 56 + -17 Combine like terms: 17 + -17 = 0 0 + 1.5x = 56 + -17 1.5x = 56 + -17 Combine like terms: 56 + -17 = 39 1.5x = 39 Divide each side by '1.5'. x = 26 Simplifying x = 26
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