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Simplifying 6x + 8x + -6 + 8 = 12x + 24 + -10 Reorder the terms: -6 + 8 + 6x + 8x = 12x + 24 + -10 Combine like terms: -6 + 8 = 2 2 + 6x + 8x = 12x + 24 + -10 Combine like terms: 6x + 8x = 14x 2 + 14x = 12x + 24 + -10 Reorder the terms: 2 + 14x = 24 + -10 + 12x Combine like terms: 24 + -10 = 14 2 + 14x = 14 + 12x Solving 2 + 14x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 14x + -12x = 14 + 12x + -12x Combine like terms: 14x + -12x = 2x 2 + 2x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + 2x = 14 + 0 2 + 2x = 14 Add '-2' to each side of the equation. 2 + -2 + 2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 14 + -2 2x = 14 + -2 Combine like terms: 14 + -2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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