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Simplifying 7(5 + -1x) = (x + -5) (5 * 7 + -1x * 7) = (x + -5) (35 + -7x) = (x + -5) Reorder the terms: 35 + -7x = (-5 + x) Remove parenthesis around (-5 + x) 35 + -7x = -5 + x Solving 35 + -7x = -5 + 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. 35 + -7x + -1x = -5 + x + -1x Combine like terms: -7x + -1x = -8x 35 + -8x = -5 + x + -1x Combine like terms: x + -1x = 0 35 + -8x = -5 + 0 35 + -8x = -5 Add '-35' to each side of the equation. 35 + -35 + -8x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -5 + -35 -8x = -5 + -35 Combine like terms: -5 + -35 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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