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