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Simplifying 7x + -102 = 2x + 38 Reorder the terms: -102 + 7x = 2x + 38 Reorder the terms: -102 + 7x = 38 + 2x Solving -102 + 7x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -102 + 7x + -2x = 38 + 2x + -2x Combine like terms: 7x + -2x = 5x -102 + 5x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -102 + 5x = 38 + 0 -102 + 5x = 38 Add '102' to each side of the equation. -102 + 102 + 5x = 38 + 102 Combine like terms: -102 + 102 = 0 0 + 5x = 38 + 102 5x = 38 + 102 Combine like terms: 38 + 102 = 140 5x = 140 Divide each side by '5'. x = 28 Simplifying x = 28
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