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Simplifying -3x + 11 = 8x + 51 Reorder the terms: 11 + -3x = 8x + 51 Reorder the terms: 11 + -3x = 51 + 8x Solving 11 + -3x = 51 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + -3x + -8x = 51 + 8x + -8x Combine like terms: -3x + -8x = -11x 11 + -11x = 51 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -11x = 51 + 0 11 + -11x = 51 Add '-11' to each side of the equation. 11 + -11 + -11x = 51 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = 51 + -11 -11x = 51 + -11 Combine like terms: 51 + -11 = 40 -11x = 40 Divide each side by '-11'. x = -3.636363636 Simplifying x = -3.636363636
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