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Simplifying 6x + -6 + 8x = 2x + 30 Reorder the terms: -6 + 6x + 8x = 2x + 30 Combine like terms: 6x + 8x = 14x -6 + 14x = 2x + 30 Reorder the terms: -6 + 14x = 30 + 2x Solving -6 + 14x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 14x + -2x = 30 + 2x + -2x Combine like terms: 14x + -2x = 12x -6 + 12x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 12x = 30 + 0 -6 + 12x = 30 Add '6' to each side of the equation. -6 + 6 + 12x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 30 + 6 12x = 30 + 6 Combine like terms: 30 + 6 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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