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Simplifying 7(x + -1) = x + -13 Reorder the terms: 7(-1 + x) = x + -13 (-1 * 7 + x * 7) = x + -13 (-7 + 7x) = x + -13 Reorder the terms: -7 + 7x = -13 + x Solving -7 + 7x = -13 + x 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. -7 + 7x + -1x = -13 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = -13 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = -13 + 0 -7 + 6x = -13 Add '7' to each side of the equation. -7 + 7 + 6x = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -13 + 7 6x = -13 + 7 Combine like terms: -13 + 7 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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