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Simplifying 3x + 37 = 11x + -51 Reorder the terms: 37 + 3x = 11x + -51 Reorder the terms: 37 + 3x = -51 + 11x Solving 37 + 3x = -51 + 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 + 3x + -11x = -51 + 11x + -11x Combine like terms: 3x + -11x = -8x 37 + -8x = -51 + 11x + -11x Combine like terms: 11x + -11x = 0 37 + -8x = -51 + 0 37 + -8x = -51 Add '-37' to each side of the equation. 37 + -37 + -8x = -51 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = -51 + -37 -8x = -51 + -37 Combine like terms: -51 + -37 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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