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Simplifying 7(-5 + -1x) = (-1x + 13) (-5 * 7 + -1x * 7) = (-1x + 13) (-35 + -7x) = (-1x + 13) Reorder the terms: -35 + -7x = (13 + -1x) Remove parenthesis around (13 + -1x) -35 + -7x = 13 + -1x Solving -35 + -7x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + -7x + x = 13 + -1x + x Combine like terms: -7x + x = -6x -35 + -6x = 13 + -1x + x Combine like terms: -1x + x = 0 -35 + -6x = 13 + 0 -35 + -6x = 13 Add '35' to each side of the equation. -35 + 35 + -6x = 13 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 13 + 35 -6x = 13 + 35 Combine like terms: 13 + 35 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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