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Simplifying 12x + -102 = 4x + 50 Reorder the terms: -102 + 12x = 4x + 50 Reorder the terms: -102 + 12x = 50 + 4x Solving -102 + 12x = 50 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -102 + 12x + -4x = 50 + 4x + -4x Combine like terms: 12x + -4x = 8x -102 + 8x = 50 + 4x + -4x Combine like terms: 4x + -4x = 0 -102 + 8x = 50 + 0 -102 + 8x = 50 Add '102' to each side of the equation. -102 + 102 + 8x = 50 + 102 Combine like terms: -102 + 102 = 0 0 + 8x = 50 + 102 8x = 50 + 102 Combine like terms: 50 + 102 = 152 8x = 152 Divide each side by '8'. x = 19 Simplifying x = 19
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