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Simplifying 3x + -102 = -1x + 38 Reorder the terms: -102 + 3x = -1x + 38 Reorder the terms: -102 + 3x = 38 + -1x Solving -102 + 3x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -102 + 3x + x = 38 + -1x + x Combine like terms: 3x + x = 4x -102 + 4x = 38 + -1x + x Combine like terms: -1x + x = 0 -102 + 4x = 38 + 0 -102 + 4x = 38 Add '102' to each side of the equation. -102 + 102 + 4x = 38 + 102 Combine like terms: -102 + 102 = 0 0 + 4x = 38 + 102 4x = 38 + 102 Combine like terms: 38 + 102 = 140 4x = 140 Divide each side by '4'. x = 35 Simplifying x = 35
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