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Simplifying -1x + 43 = 5(x + -1) Reorder the terms: 43 + -1x = 5(x + -1) Reorder the terms: 43 + -1x = 5(-1 + x) 43 + -1x = (-1 * 5 + x * 5) 43 + -1x = (-5 + 5x) Solving 43 + -1x = -5 + 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. 43 + -1x + -5x = -5 + 5x + -5x Combine like terms: -1x + -5x = -6x 43 + -6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -6x = -5 + 0 43 + -6x = -5 Add '-43' to each side of the equation. 43 + -43 + -6x = -5 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = -5 + -43 -6x = -5 + -43 Combine like terms: -5 + -43 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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