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Simplifying 7x + -2(5x + 9) = 7 + -1(11 + -11x) Reorder the terms: 7x + -2(9 + 5x) = 7 + -1(11 + -11x) 7x + (9 * -2 + 5x * -2) = 7 + -1(11 + -11x) 7x + (-18 + -10x) = 7 + -1(11 + -11x) Reorder the terms: -18 + 7x + -10x = 7 + -1(11 + -11x) Combine like terms: 7x + -10x = -3x -18 + -3x = 7 + -1(11 + -11x) -18 + -3x = 7 + (11 * -1 + -11x * -1) -18 + -3x = 7 + (-11 + 11x) Combine like terms: 7 + -11 = -4 -18 + -3x = -4 + 11x Solving -18 + -3x = -4 + 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. -18 + -3x + -11x = -4 + 11x + -11x Combine like terms: -3x + -11x = -14x -18 + -14x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + -14x = -4 + 0 -18 + -14x = -4 Add '18' to each side of the equation. -18 + 18 + -14x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -14x = -4 + 18 -14x = -4 + 18 Combine like terms: -4 + 18 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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