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Simplifying 7(x + -5) = -1(11 + -1x) Reorder the terms: 7(-5 + x) = -1(11 + -1x) (-5 * 7 + x * 7) = -1(11 + -1x) (-35 + 7x) = -1(11 + -1x) -35 + 7x = (11 * -1 + -1x * -1) -35 + 7x = (-11 + 1x) Solving -35 + 7x = -11 + 1x 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 = -11 + 1x + -1x Combine like terms: 7x + -1x = 6x -35 + 6x = -11 + 1x + -1x Combine like terms: 1x + -1x = 0 -35 + 6x = -11 + 0 -35 + 6x = -11 Add '35' to each side of the equation. -35 + 35 + 6x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = -11 + 35 6x = -11 + 35 Combine like terms: -11 + 35 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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