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Simplifying 37 = 5x + -2(7x + -41) Reorder the terms: 37 = 5x + -2(-41 + 7x) 37 = 5x + (-41 * -2 + 7x * -2) 37 = 5x + (82 + -14x) Reorder the terms: 37 = 82 + 5x + -14x Combine like terms: 5x + -14x = -9x 37 = 82 + -9x Solving 37 = 82 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 37 + 9x = 82 + -9x + 9x Combine like terms: -9x + 9x = 0 37 + 9x = 82 + 0 37 + 9x = 82 Add '-37' to each side of the equation. 37 + -37 + 9x = 82 + -37 Combine like terms: 37 + -37 = 0 0 + 9x = 82 + -37 9x = 82 + -37 Combine like terms: 82 + -37 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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