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Simplifying 10x + 50 = 8x + 30 Reorder the terms: 50 + 10x = 8x + 30 Reorder the terms: 50 + 10x = 30 + 8x Solving 50 + 10x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 50 + 10x + -8x = 30 + 8x + -8x Combine like terms: 10x + -8x = 2x 50 + 2x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + 2x = 30 + 0 50 + 2x = 30 Add '-50' to each side of the equation. 50 + -50 + 2x = 30 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 30 + -50 2x = 30 + -50 Combine like terms: 30 + -50 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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