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Simplifying 5x + -1(1 + -3x) = 9x + 13 5x + (1 * -1 + -3x * -1) = 9x + 13 5x + (-1 + 3x) = 9x + 13 Reorder the terms: -1 + 5x + 3x = 9x + 13 Combine like terms: 5x + 3x = 8x -1 + 8x = 9x + 13 Reorder the terms: -1 + 8x = 13 + 9x Solving -1 + 8x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 8x + -9x = 13 + 9x + -9x Combine like terms: 8x + -9x = -1x -1 + -1x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -1x = 13 + 0 -1 + -1x = 13 Add '1' to each side of the equation. -1 + 1 + -1x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 13 + 1 -1x = 13 + 1 Combine like terms: 13 + 1 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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