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Simplifying 2x + -6 + 4 = 5x + 8 + 2 Reorder the terms: -6 + 4 + 2x = 5x + 8 + 2 Combine like terms: -6 + 4 = -2 -2 + 2x = 5x + 8 + 2 Reorder the terms: -2 + 2x = 8 + 2 + 5x Combine like terms: 8 + 2 = 10 -2 + 2x = 10 + 5x Solving -2 + 2x = 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. -2 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = 10 + 0 -2 + -3x = 10 Add '2' to each side of the equation. -2 + 2 + -3x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 10 + 2 -3x = 10 + 2 Combine like terms: 10 + 2 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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