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Simplifying 2x + -6 + 4x + -8 = 3x + 10 Reorder the terms: -6 + -8 + 2x + 4x = 3x + 10 Combine like terms: -6 + -8 = -14 -14 + 2x + 4x = 3x + 10 Combine like terms: 2x + 4x = 6x -14 + 6x = 3x + 10 Reorder the terms: -14 + 6x = 10 + 3x Solving -14 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -14 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 3x = 10 + 0 -14 + 3x = 10 Add '14' to each side of the equation. -14 + 14 + 3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 10 + 14 3x = 10 + 14 Combine like terms: 10 + 14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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