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Simplifying 6 + -5(x + -1) + 1 = 1 + -1(5 + -1x) Reorder the terms: 6 + -5(-1 + x) + 1 = 1 + -1(5 + -1x) 6 + (-1 * -5 + x * -5) + 1 = 1 + -1(5 + -1x) 6 + (5 + -5x) + 1 = 1 + -1(5 + -1x) Reorder the terms: 6 + 5 + 1 + -5x = 1 + -1(5 + -1x) Combine like terms: 6 + 5 = 11 11 + 1 + -5x = 1 + -1(5 + -1x) Combine like terms: 11 + 1 = 12 12 + -5x = 1 + -1(5 + -1x) 12 + -5x = 1 + (5 * -1 + -1x * -1) 12 + -5x = 1 + (-5 + 1x) Combine like terms: 1 + -5 = -4 12 + -5x = -4 + 1x Solving 12 + -5x = -4 + 1x 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. 12 + -5x + -1x = -4 + 1x + -1x Combine like terms: -5x + -1x = -6x 12 + -6x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -6x = -4 + 0 12 + -6x = -4 Add '-12' to each side of the equation. 12 + -12 + -6x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -4 + -12 -6x = -4 + -12 Combine like terms: -4 + -12 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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