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Simplifying 11(x + -5) = (x + 5) Reorder the terms: 11(-5 + x) = (x + 5) (-5 * 11 + x * 11) = (x + 5) (-55 + 11x) = (x + 5) Reorder the terms: -55 + 11x = (5 + x) Remove parenthesis around (5 + x) -55 + 11x = 5 + x Solving -55 + 11x = 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. -55 + 11x + -1x = 5 + x + -1x Combine like terms: 11x + -1x = 10x -55 + 10x = 5 + x + -1x Combine like terms: x + -1x = 0 -55 + 10x = 5 + 0 -55 + 10x = 5 Add '55' to each side of the equation. -55 + 55 + 10x = 5 + 55 Combine like terms: -55 + 55 = 0 0 + 10x = 5 + 55 10x = 5 + 55 Combine like terms: 5 + 55 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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