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Simplifying -1(9x + -5) + -1(2x + -5) + 9 = -3(x + -1) + -1(11x + 2) + 3 Reorder the terms: -1(-5 + 9x) + -1(2x + -5) + 9 = -3(x + -1) + -1(11x + 2) + 3 (-5 * -1 + 9x * -1) + -1(2x + -5) + 9 = -3(x + -1) + -1(11x + 2) + 3 (5 + -9x) + -1(2x + -5) + 9 = -3(x + -1) + -1(11x + 2) + 3 Reorder the terms: 5 + -9x + -1(-5 + 2x) + 9 = -3(x + -1) + -1(11x + 2) + 3 5 + -9x + (-5 * -1 + 2x * -1) + 9 = -3(x + -1) + -1(11x + 2) + 3 5 + -9x + (5 + -2x) + 9 = -3(x + -1) + -1(11x + 2) + 3 Reorder the terms: 5 + 5 + 9 + -9x + -2x = -3(x + -1) + -1(11x + 2) + 3 Combine like terms: 5 + 5 = 10 10 + 9 + -9x + -2x = -3(x + -1) + -1(11x + 2) + 3 Combine like terms: 10 + 9 = 19 19 + -9x + -2x = -3(x + -1) + -1(11x + 2) + 3 Combine like terms: -9x + -2x = -11x 19 + -11x = -3(x + -1) + -1(11x + 2) + 3 Reorder the terms: 19 + -11x = -3(-1 + x) + -1(11x + 2) + 3 19 + -11x = (-1 * -3 + x * -3) + -1(11x + 2) + 3 19 + -11x = (3 + -3x) + -1(11x + 2) + 3 Reorder the terms: 19 + -11x = 3 + -3x + -1(2 + 11x) + 3 19 + -11x = 3 + -3x + (2 * -1 + 11x * -1) + 3 19 + -11x = 3 + -3x + (-2 + -11x) + 3 Reorder the terms: 19 + -11x = 3 + -2 + 3 + -3x + -11x Combine like terms: 3 + -2 = 1 19 + -11x = 1 + 3 + -3x + -11x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -3x + -11x Combine like terms: -3x + -11x = -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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