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Simplifying 11x + -1(5 + -2x) = 5(3x + 1) 11x + (5 * -1 + -2x * -1) = 5(3x + 1) 11x + (-5 + 2x) = 5(3x + 1) Reorder the terms: -5 + 11x + 2x = 5(3x + 1) Combine like terms: 11x + 2x = 13x -5 + 13x = 5(3x + 1) Reorder the terms: -5 + 13x = 5(1 + 3x) -5 + 13x = (1 * 5 + 3x * 5) -5 + 13x = (5 + 15x) Solving -5 + 13x = 5 + 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. -5 + 13x + -15x = 5 + 15x + -15x Combine like terms: 13x + -15x = -2x -5 + -2x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -2x = 5 + 0 -5 + -2x = 5 Add '5' to each side of the equation. -5 + 5 + -2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 5 + 5 -2x = 5 + 5 Combine like terms: 5 + 5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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