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Simplifying 7 + -24 = x + -8 + 13 Combine like terms: 7 + -24 = -17 -17 = x + -8 + 13 Reorder the terms: -17 = -8 + 13 + x Combine like terms: -8 + 13 = 5 -17 = 5 + x Solving -17 = 5 + x 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. -17 + -1x = 5 + x + -1x Combine like terms: x + -1x = 0 -17 + -1x = 5 + 0 -17 + -1x = 5 Add '17' to each side of the equation. -17 + 17 + -1x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 5 + 17 -1x = 5 + 17 Combine like terms: 5 + 17 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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