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Simplifying (2 + -1x) + -1(7 + -1x) = 5 + 6x Remove parenthesis around (2 + -1x) 2 + -1x + -1(7 + -1x) = 5 + 6x 2 + -1x + (7 * -1 + -1x * -1) = 5 + 6x 2 + -1x + (-7 + 1x) = 5 + 6x Reorder the terms: 2 + -7 + -1x + 1x = 5 + 6x Combine like terms: 2 + -7 = -5 -5 + -1x + 1x = 5 + 6x Combine like terms: -1x + 1x = 0 -5 + 0 = 5 + 6x -5 = 5 + 6x Solving -5 = 5 + 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 + -6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -6x = 5 + 0 -5 + -6x = 5 Add '5' to each side of the equation. -5 + 5 + -6x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 5 + 5 -6x = 5 + 5 Combine like terms: 5 + 5 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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