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Simplifying 5x + 10 + 3x + 12 = 102 Reorder the terms: 10 + 12 + 5x + 3x = 102 Combine like terms: 10 + 12 = 22 22 + 5x + 3x = 102 Combine like terms: 5x + 3x = 8x 22 + 8x = 102 Solving 22 + 8x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8x = 102 + -22 Combine like terms: 22 + -22 = 0 0 + 8x = 102 + -22 8x = 102 + -22 Combine like terms: 102 + -22 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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