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Simplifying -8 + -13 = 6x + 17 + -5x Combine like terms: -8 + -13 = -21 -21 = 6x + 17 + -5x Reorder the terms: -21 = 17 + 6x + -5x Combine like terms: 6x + -5x = 1x -21 = 17 + 1x Solving -21 = 17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + -1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + -1x = 17 + 0 -21 + -1x = 17 Add '21' to each side of the equation. -21 + 21 + -1x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 17 + 21 -1x = 17 + 21 Combine like terms: 17 + 21 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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