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Simplifying 37 = 5x + -2(-3x + 9) Reorder the terms: 37 = 5x + -2(9 + -3x) 37 = 5x + (9 * -2 + -3x * -2) 37 = 5x + (-18 + 6x) Reorder the terms: 37 = -18 + 5x + 6x Combine like terms: 5x + 6x = 11x 37 = -18 + 11x Solving 37 = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 37 + -11x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 37 + -11x = -18 + 0 37 + -11x = -18 Add '-37' to each side of the equation. 37 + -37 + -11x = -18 + -37 Combine like terms: 37 + -37 = 0 0 + -11x = -18 + -37 -11x = -18 + -37 Combine like terms: -18 + -37 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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