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Simplifying -102 + -7x = 7x + 24 Reorder the terms: -102 + -7x = 24 + 7x Solving -102 + -7x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -102 + -7x + -7x = 24 + 7x + -7x Combine like terms: -7x + -7x = -14x -102 + -14x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -102 + -14x = 24 + 0 -102 + -14x = 24 Add '102' to each side of the equation. -102 + 102 + -14x = 24 + 102 Combine like terms: -102 + 102 = 0 0 + -14x = 24 + 102 -14x = 24 + 102 Combine like terms: 24 + 102 = 126 -14x = 126 Divide each side by '-14'. x = -9 Simplifying x = -9
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