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Simplifying -1(2x + -3) + -1(9x + -5) + 11 = -11(x + -1) + -1(3x + 10) + 3 Reorder the terms: -1(-3 + 2x) + -1(9x + -5) + 11 = -11(x + -1) + -1(3x + 10) + 3 (-3 * -1 + 2x * -1) + -1(9x + -5) + 11 = -11(x + -1) + -1(3x + 10) + 3 (3 + -2x) + -1(9x + -5) + 11 = -11(x + -1) + -1(3x + 10) + 3 Reorder the terms: 3 + -2x + -1(-5 + 9x) + 11 = -11(x + -1) + -1(3x + 10) + 3 3 + -2x + (-5 * -1 + 9x * -1) + 11 = -11(x + -1) + -1(3x + 10) + 3 3 + -2x + (5 + -9x) + 11 = -11(x + -1) + -1(3x + 10) + 3 Reorder the terms: 3 + 5 + 11 + -2x + -9x = -11(x + -1) + -1(3x + 10) + 3 Combine like terms: 3 + 5 = 8 8 + 11 + -2x + -9x = -11(x + -1) + -1(3x + 10) + 3 Combine like terms: 8 + 11 = 19 19 + -2x + -9x = -11(x + -1) + -1(3x + 10) + 3 Combine like terms: -2x + -9x = -11x 19 + -11x = -11(x + -1) + -1(3x + 10) + 3 Reorder the terms: 19 + -11x = -11(-1 + x) + -1(3x + 10) + 3 19 + -11x = (-1 * -11 + x * -11) + -1(3x + 10) + 3 19 + -11x = (11 + -11x) + -1(3x + 10) + 3 Reorder the terms: 19 + -11x = 11 + -11x + -1(10 + 3x) + 3 19 + -11x = 11 + -11x + (10 * -1 + 3x * -1) + 3 19 + -11x = 11 + -11x + (-10 + -3x) + 3 Reorder the terms: 19 + -11x = 11 + -10 + 3 + -11x + -3x Combine like terms: 11 + -10 = 1 19 + -11x = 1 + 3 + -11x + -3x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -11x + -3x Combine like terms: -11x + -3x = -14x 19 + -11x = 4 + -14x Solving 19 + -11x = 4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 19 + -11x + 14x = 4 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = 4 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = 4 + 0 19 + 3x = 4 Add '-19' to each side of the equation. 19 + -19 + 3x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 4 + -19 3x = 4 + -19 Combine like terms: 4 + -19 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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