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Simplifying 5 + -1x = 5x + 47 Reorder the terms: 5 + -1x = 47 + 5x Solving 5 + -1x = 47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -1x + -5x = 47 + 5x + -5x Combine like terms: -1x + -5x = -6x 5 + -6x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -6x = 47 + 0 5 + -6x = 47 Add '-5' to each side of the equation. 5 + -5 + -6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 47 + -5 -6x = 47 + -5 Combine like terms: 47 + -5 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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