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Simplifying 3x + -8 + 4x + -2 = 5x + 10 Reorder the terms: -8 + -2 + 3x + 4x = 5x + 10 Combine like terms: -8 + -2 = -10 -10 + 3x + 4x = 5x + 10 Combine like terms: 3x + 4x = 7x -10 + 7x = 5x + 10 Reorder the terms: -10 + 7x = 10 + 5x Solving -10 + 7x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = 10 + 0 -10 + 2x = 10 Add '10' to each side of the equation. -10 + 10 + 2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 10 + 10 2x = 10 + 10 Combine like terms: 10 + 10 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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