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Simplifying 10x + 30 = 8x + 20 Reorder the terms: 30 + 10x = 8x + 20 Reorder the terms: 30 + 10x = 20 + 8x Solving 30 + 10x = 20 + 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. 30 + 10x + -8x = 20 + 8x + -8x Combine like terms: 10x + -8x = 2x 30 + 2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 2x = 20 + 0 30 + 2x = 20 Add '-30' to each side of the equation. 30 + -30 + 2x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 20 + -30 2x = 20 + -30 Combine like terms: 20 + -30 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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