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Simplifying -1(6x + -5) + -1(4x + -5) + 13 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: -1(-5 + 6x) + -1(4x + -5) + 13 = -11(x + -1) + -1(4x + 11) + 3 (-5 * -1 + 6x * -1) + -1(4x + -5) + 13 = -11(x + -1) + -1(4x + 11) + 3 (5 + -6x) + -1(4x + -5) + 13 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 5 + -6x + -1(-5 + 4x) + 13 = -11(x + -1) + -1(4x + 11) + 3 5 + -6x + (-5 * -1 + 4x * -1) + 13 = -11(x + -1) + -1(4x + 11) + 3 5 + -6x + (5 + -4x) + 13 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 5 + 5 + 13 + -6x + -4x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 5 + 5 = 10 10 + 13 + -6x + -4x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 10 + 13 = 23 23 + -6x + -4x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: -6x + -4x = -10x 23 + -10x = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 23 + -10x = -11(-1 + x) + -1(4x + 11) + 3 23 + -10x = (-1 * -11 + x * -11) + -1(4x + 11) + 3 23 + -10x = (11 + -11x) + -1(4x + 11) + 3 Reorder the terms: 23 + -10x = 11 + -11x + -1(11 + 4x) + 3 23 + -10x = 11 + -11x + (11 * -1 + 4x * -1) + 3 23 + -10x = 11 + -11x + (-11 + -4x) + 3 Reorder the terms: 23 + -10x = 11 + -11 + 3 + -11x + -4x Combine like terms: 11 + -11 = 0 23 + -10x = 0 + 3 + -11x + -4x 23 + -10x = 3 + -11x + -4x Combine like terms: -11x + -4x = -15x 23 + -10x = 3 + -15x Solving 23 + -10x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 23 + -10x + 15x = 3 + -15x + 15x Combine like terms: -10x + 15x = 5x 23 + 5x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 5x = 3 + 0 23 + 5x = 3 Add '-23' to each side of the equation. 23 + -23 + 5x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 3 + -23 5x = 3 + -23 Combine like terms: 3 + -23 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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