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Simplifying 37 + -2x = -7(1 + -7x) + -7 37 + -2x = (1 * -7 + -7x * -7) + -7 37 + -2x = (-7 + 49x) + -7 Reorder the terms: 37 + -2x = -7 + -7 + 49x Combine like terms: -7 + -7 = -14 37 + -2x = -14 + 49x Solving 37 + -2x = -14 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 37 + -2x + -49x = -14 + 49x + -49x Combine like terms: -2x + -49x = -51x 37 + -51x = -14 + 49x + -49x Combine like terms: 49x + -49x = 0 37 + -51x = -14 + 0 37 + -51x = -14 Add '-37' to each side of the equation. 37 + -37 + -51x = -14 + -37 Combine like terms: 37 + -37 = 0 0 + -51x = -14 + -37 -51x = -14 + -37 Combine like terms: -14 + -37 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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