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Simplifying (3x + 27) + -1(2x + 1) = 90 Reorder the terms: (27 + 3x) + -1(2x + 1) = 90 Remove parenthesis around (27 + 3x) 27 + 3x + -1(2x + 1) = 90 Reorder the terms: 27 + 3x + -1(1 + 2x) = 90 27 + 3x + (1 * -1 + 2x * -1) = 90 27 + 3x + (-1 + -2x) = 90 Reorder the terms: 27 + -1 + 3x + -2x = 90 Combine like terms: 27 + -1 = 26 26 + 3x + -2x = 90 Combine like terms: 3x + -2x = 1x 26 + 1x = 90 Solving 26 + 1x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1x = 90 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 90 + -26 1x = 90 + -26 Combine like terms: 90 + -26 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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