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Simplifying -5x + 8 = 6x + -47 Reorder the terms: 8 + -5x = 6x + -47 Reorder the terms: 8 + -5x = -47 + 6x Solving 8 + -5x = -47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -5x + -6x = -47 + 6x + -6x Combine like terms: -5x + -6x = -11x 8 + -11x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -11x = -47 + 0 8 + -11x = -47 Add '-8' to each side of the equation. 8 + -8 + -11x = -47 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -47 + -8 -11x = -47 + -8 Combine like terms: -47 + -8 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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