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Simplifying -1(5x + -4) + -1(5x + -6) + 13 = -4(x + -1) + -1(11x + 4) + 3 Reorder the terms: -1(-4 + 5x) + -1(5x + -6) + 13 = -4(x + -1) + -1(11x + 4) + 3 (-4 * -1 + 5x * -1) + -1(5x + -6) + 13 = -4(x + -1) + -1(11x + 4) + 3 (4 + -5x) + -1(5x + -6) + 13 = -4(x + -1) + -1(11x + 4) + 3 Reorder the terms: 4 + -5x + -1(-6 + 5x) + 13 = -4(x + -1) + -1(11x + 4) + 3 4 + -5x + (-6 * -1 + 5x * -1) + 13 = -4(x + -1) + -1(11x + 4) + 3 4 + -5x + (6 + -5x) + 13 = -4(x + -1) + -1(11x + 4) + 3 Reorder the terms: 4 + 6 + 13 + -5x + -5x = -4(x + -1) + -1(11x + 4) + 3 Combine like terms: 4 + 6 = 10 10 + 13 + -5x + -5x = -4(x + -1) + -1(11x + 4) + 3 Combine like terms: 10 + 13 = 23 23 + -5x + -5x = -4(x + -1) + -1(11x + 4) + 3 Combine like terms: -5x + -5x = -10x 23 + -10x = -4(x + -1) + -1(11x + 4) + 3 Reorder the terms: 23 + -10x = -4(-1 + x) + -1(11x + 4) + 3 23 + -10x = (-1 * -4 + x * -4) + -1(11x + 4) + 3 23 + -10x = (4 + -4x) + -1(11x + 4) + 3 Reorder the terms: 23 + -10x = 4 + -4x + -1(4 + 11x) + 3 23 + -10x = 4 + -4x + (4 * -1 + 11x * -1) + 3 23 + -10x = 4 + -4x + (-4 + -11x) + 3 Reorder the terms: 23 + -10x = 4 + -4 + 3 + -4x + -11x Combine like terms: 4 + -4 = 0 23 + -10x = 0 + 3 + -4x + -11x 23 + -10x = 3 + -4x + -11x Combine like terms: -4x + -11x = -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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