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Simplifying 3x + 102 = 5x + -2 Reorder the terms: 102 + 3x = 5x + -2 Reorder the terms: 102 + 3x = -2 + 5x Solving 102 + 3x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 102 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x 102 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 102 + -2x = -2 + 0 102 + -2x = -2 Add '-102' to each side of the equation. 102 + -102 + -2x = -2 + -102 Combine like terms: 102 + -102 = 0 0 + -2x = -2 + -102 -2x = -2 + -102 Combine like terms: -2 + -102 = -104 -2x = -104 Divide each side by '-2'. x = 52 Simplifying x = 52
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