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Simplifying 6x + -6 + 8x = 2x + 30 + -6x Reorder the terms: -6 + 6x + 8x = 2x + 30 + -6x Combine like terms: 6x + 8x = 14x -6 + 14x = 2x + 30 + -6x Reorder the terms: -6 + 14x = 30 + 2x + -6x Combine like terms: 2x + -6x = -4x -6 + 14x = 30 + -4x Solving -6 + 14x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 14x + 4x = 30 + -4x + 4x Combine like terms: 14x + 4x = 18x -6 + 18x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 18x = 30 + 0 -6 + 18x = 30 Add '6' to each side of the equation. -6 + 6 + 18x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 30 + 6 18x = 30 + 6 Combine like terms: 30 + 6 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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