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Simplifying 7(x + -11) = -13(x + 19) Reorder the terms: 7(-11 + x) = -13(x + 19) (-11 * 7 + x * 7) = -13(x + 19) (-77 + 7x) = -13(x + 19) Reorder the terms: -77 + 7x = -13(19 + x) -77 + 7x = (19 * -13 + x * -13) -77 + 7x = (-247 + -13x) Solving -77 + 7x = -247 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -77 + 7x + 13x = -247 + -13x + 13x Combine like terms: 7x + 13x = 20x -77 + 20x = -247 + -13x + 13x Combine like terms: -13x + 13x = 0 -77 + 20x = -247 + 0 -77 + 20x = -247 Add '77' to each side of the equation. -77 + 77 + 20x = -247 + 77 Combine like terms: -77 + 77 = 0 0 + 20x = -247 + 77 20x = -247 + 77 Combine like terms: -247 + 77 = -170 20x = -170 Divide each side by '20'. x = -8.5 Simplifying x = -8.5
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