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Simplifying 2((3x + 1) + (4x + 2)) = 90 Reorder the terms: 2((1 + 3x) + (4x + 2)) = 90 Remove parenthesis around (1 + 3x) 2(1 + 3x + (4x + 2)) = 90 Reorder the terms: 2(1 + 3x + (2 + 4x)) = 90 Remove parenthesis around (2 + 4x) 2(1 + 3x + 2 + 4x) = 90 Reorder the terms: 2(1 + 2 + 3x + 4x) = 90 Combine like terms: 1 + 2 = 3 2(3 + 3x + 4x) = 90 Combine like terms: 3x + 4x = 7x 2(3 + 7x) = 90 (3 * 2 + 7x * 2) = 90 (6 + 14x) = 90 Solving 6 + 14x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 14x = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 90 + -6 14x = 90 + -6 Combine like terms: 90 + -6 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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