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Simplifying 5(x + -1) = 6(1 + -1x) + 1 Reorder the terms: 5(-1 + x) = 6(1 + -1x) + 1 (-1 * 5 + x * 5) = 6(1 + -1x) + 1 (-5 + 5x) = 6(1 + -1x) + 1 -5 + 5x = (1 * 6 + -1x * 6) + 1 -5 + 5x = (6 + -6x) + 1 Reorder the terms: -5 + 5x = 6 + 1 + -6x Combine like terms: 6 + 1 = 7 -5 + 5x = 7 + -6x Solving -5 + 5x = 7 + -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. -5 + 5x + 6x = 7 + -6x + 6x Combine like terms: 5x + 6x = 11x -5 + 11x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 11x = 7 + 0 -5 + 11x = 7 Add '5' to each side of the equation. -5 + 5 + 11x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 7 + 5 11x = 7 + 5 Combine like terms: 7 + 5 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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