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Simplifying 5x + -47 = -6x + 41 Reorder the terms: -47 + 5x = -6x + 41 Reorder the terms: -47 + 5x = 41 + -6x Solving -47 + 5x = 41 + -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. -47 + 5x + 6x = 41 + -6x + 6x Combine like terms: 5x + 6x = 11x -47 + 11x = 41 + -6x + 6x Combine like terms: -6x + 6x = 0 -47 + 11x = 41 + 0 -47 + 11x = 41 Add '47' to each side of the equation. -47 + 47 + 11x = 41 + 47 Combine like terms: -47 + 47 = 0 0 + 11x = 41 + 47 11x = 41 + 47 Combine like terms: 41 + 47 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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