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Simplifying 102 + -5x = 3x + 6 Reorder the terms: 102 + -5x = 6 + 3x Solving 102 + -5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 102 + -5x + -3x = 6 + 3x + -3x Combine like terms: -5x + -3x = -8x 102 + -8x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 102 + -8x = 6 + 0 102 + -8x = 6 Add '-102' to each side of the equation. 102 + -102 + -8x = 6 + -102 Combine like terms: 102 + -102 = 0 0 + -8x = 6 + -102 -8x = 6 + -102 Combine like terms: 6 + -102 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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