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Simplifying 1 + -5x = x + -47 Reorder the terms: 1 + -5x = -47 + x Solving 1 + -5x = -47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -5x + -1x = -47 + x + -1x Combine like terms: -5x + -1x = -6x 1 + -6x = -47 + x + -1x Combine like terms: x + -1x = 0 1 + -6x = -47 + 0 1 + -6x = -47 Add '-1' to each side of the equation. 1 + -1 + -6x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -47 + -1 -6x = -47 + -1 Combine like terms: -47 + -1 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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