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Simplifying 7(x + -5) = 11(x + 11) Reorder the terms: 7(-5 + x) = 11(x + 11) (-5 * 7 + x * 7) = 11(x + 11) (-35 + 7x) = 11(x + 11) Reorder the terms: -35 + 7x = 11(11 + x) -35 + 7x = (11 * 11 + x * 11) -35 + 7x = (121 + 11x) Solving -35 + 7x = 121 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -35 + 7x + -11x = 121 + 11x + -11x Combine like terms: 7x + -11x = -4x -35 + -4x = 121 + 11x + -11x Combine like terms: 11x + -11x = 0 -35 + -4x = 121 + 0 -35 + -4x = 121 Add '35' to each side of the equation. -35 + 35 + -4x = 121 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = 121 + 35 -4x = 121 + 35 Combine like terms: 121 + 35 = 156 -4x = 156 Divide each side by '-4'. x = -39 Simplifying x = -39
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