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Simplifying 6x + 10x + -6 + -2x = 8x + 12 Reorder the terms: -6 + 6x + 10x + -2x = 8x + 12 Combine like terms: 6x + 10x = 16x -6 + 16x + -2x = 8x + 12 Combine like terms: 16x + -2x = 14x -6 + 14x = 8x + 12 Reorder the terms: -6 + 14x = 12 + 8x Solving -6 + 14x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 14x + -8x = 12 + 8x + -8x Combine like terms: 14x + -8x = 6x -6 + 6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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