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Simplifying 10x + 3 = 8x + 2 Reorder the terms: 3 + 10x = 8x + 2 Reorder the terms: 3 + 10x = 2 + 8x Solving 3 + 10x = 2 + 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. 3 + 10x + -8x = 2 + 8x + -8x Combine like terms: 10x + -8x = 2x 3 + 2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 2x = 2 + 0 3 + 2x = 2 Add '-3' to each side of the equation. 3 + -3 + 2x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 2 + -3 2x = 2 + -3 Combine like terms: 2 + -3 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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