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Simplifying 13x + -1(6 + -4x) = 2x + 39 13x + (6 * -1 + -4x * -1) = 2x + 39 13x + (-6 + 4x) = 2x + 39 Reorder the terms: -6 + 13x + 4x = 2x + 39 Combine like terms: 13x + 4x = 17x -6 + 17x = 2x + 39 Reorder the terms: -6 + 17x = 39 + 2x Solving -6 + 17x = 39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 17x + -2x = 39 + 2x + -2x Combine like terms: 17x + -2x = 15x -6 + 15x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 15x = 39 + 0 -6 + 15x = 39 Add '6' to each side of the equation. -6 + 6 + 15x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 39 + 6 15x = 39 + 6 Combine like terms: 39 + 6 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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