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Simplifying 7 + -21 = x + -7 + 17 Combine like terms: 7 + -21 = -14 -14 = x + -7 + 17 Reorder the terms: -14 = -7 + 17 + x Combine like terms: -7 + 17 = 10 -14 = 10 + x Solving -14 = 10 + 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. -14 + -1x = 10 + x + -1x Combine like terms: x + -1x = 0 -14 + -1x = 10 + 0 -14 + -1x = 10 Add '14' to each side of the equation. -14 + 14 + -1x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 10 + 14 -1x = 10 + 14 Combine like terms: 10 + 14 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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