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Simplifying -47 + x = 6x + 43 Reorder the terms: -47 + x = 43 + 6x Solving -47 + x = 43 + 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 + x + -6x = 43 + 6x + -6x Combine like terms: x + -6x = -5x -47 + -5x = 43 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + -5x = 43 + 0 -47 + -5x = 43 Add '47' to each side of the equation. -47 + 47 + -5x = 43 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = 43 + 47 -5x = 43 + 47 Combine like terms: 43 + 47 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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