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Simplifying 13x + -1(5 + -2x) = 3x + 55 13x + (5 * -1 + -2x * -1) = 3x + 55 13x + (-5 + 2x) = 3x + 55 Reorder the terms: -5 + 13x + 2x = 3x + 55 Combine like terms: 13x + 2x = 15x -5 + 15x = 3x + 55 Reorder the terms: -5 + 15x = 55 + 3x Solving -5 + 15x = 55 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 15x + -3x = 55 + 3x + -3x Combine like terms: 15x + -3x = 12x -5 + 12x = 55 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 12x = 55 + 0 -5 + 12x = 55 Add '5' to each side of the equation. -5 + 5 + 12x = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 55 + 5 12x = 55 + 5 Combine like terms: 55 + 5 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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