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Simplifying -1(5x + -5) + -1(6x + -5) + 9 = -5(x + -1) + -1(11x + 4) + 3 Reorder the terms: -1(-5 + 5x) + -1(6x + -5) + 9 = -5(x + -1) + -1(11x + 4) + 3 (-5 * -1 + 5x * -1) + -1(6x + -5) + 9 = -5(x + -1) + -1(11x + 4) + 3 (5 + -5x) + -1(6x + -5) + 9 = -5(x + -1) + -1(11x + 4) + 3 Reorder the terms: 5 + -5x + -1(-5 + 6x) + 9 = -5(x + -1) + -1(11x + 4) + 3 5 + -5x + (-5 * -1 + 6x * -1) + 9 = -5(x + -1) + -1(11x + 4) + 3 5 + -5x + (5 + -6x) + 9 = -5(x + -1) + -1(11x + 4) + 3 Reorder the terms: 5 + 5 + 9 + -5x + -6x = -5(x + -1) + -1(11x + 4) + 3 Combine like terms: 5 + 5 = 10 10 + 9 + -5x + -6x = -5(x + -1) + -1(11x + 4) + 3 Combine like terms: 10 + 9 = 19 19 + -5x + -6x = -5(x + -1) + -1(11x + 4) + 3 Combine like terms: -5x + -6x = -11x 19 + -11x = -5(x + -1) + -1(11x + 4) + 3 Reorder the terms: 19 + -11x = -5(-1 + x) + -1(11x + 4) + 3 19 + -11x = (-1 * -5 + x * -5) + -1(11x + 4) + 3 19 + -11x = (5 + -5x) + -1(11x + 4) + 3 Reorder the terms: 19 + -11x = 5 + -5x + -1(4 + 11x) + 3 19 + -11x = 5 + -5x + (4 * -1 + 11x * -1) + 3 19 + -11x = 5 + -5x + (-4 + -11x) + 3 Reorder the terms: 19 + -11x = 5 + -4 + 3 + -5x + -11x Combine like terms: 5 + -4 = 1 19 + -11x = 1 + 3 + -5x + -11x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -5x + -11x Combine like terms: -5x + -11x = -16x 19 + -11x = 4 + -16x Solving 19 + -11x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 19 + -11x + 16x = 4 + -16x + 16x Combine like terms: -11x + 16x = 5x 19 + 5x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 19 + 5x = 4 + 0 19 + 5x = 4 Add '-19' to each side of the equation. 19 + -19 + 5x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 4 + -19 5x = 4 + -19 Combine like terms: 4 + -19 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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