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Simplifying 5x + -1(3 + -9x) = 13x + 20 5x + (3 * -1 + -9x * -1) = 13x + 20 5x + (-3 + 9x) = 13x + 20 Reorder the terms: -3 + 5x + 9x = 13x + 20 Combine like terms: 5x + 9x = 14x -3 + 14x = 13x + 20 Reorder the terms: -3 + 14x = 20 + 13x Solving -3 + 14x = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + 14x + -13x = 20 + 13x + -13x Combine like terms: 14x + -13x = 1x -3 + 1x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + 1x = 20 + 0 -3 + 1x = 20 Add '3' to each side of the equation. -3 + 3 + 1x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 20 + 3 1x = 20 + 3 Combine like terms: 20 + 3 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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