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Simplifying -1(5x + -4) + -1(5x + -5) + 14 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: -1(-4 + 5x) + -1(5x + -5) + 14 = -11(x + -1) + -1(4x + 11) + 3 (-4 * -1 + 5x * -1) + -1(5x + -5) + 14 = -11(x + -1) + -1(4x + 11) + 3 (4 + -5x) + -1(5x + -5) + 14 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 4 + -5x + -1(-5 + 5x) + 14 = -11(x + -1) + -1(4x + 11) + 3 4 + -5x + (-5 * -1 + 5x * -1) + 14 = -11(x + -1) + -1(4x + 11) + 3 4 + -5x + (5 + -5x) + 14 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 4 + 5 + 14 + -5x + -5x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 4 + 5 = 9 9 + 14 + -5x + -5x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 9 + 14 = 23 23 + -5x + -5x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: -5x + -5x = -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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