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Simplifying 2x + 8 + 12x = 7x + -6 + -4x + 16 Reorder the terms: 8 + 2x + 12x = 7x + -6 + -4x + 16 Combine like terms: 2x + 12x = 14x 8 + 14x = 7x + -6 + -4x + 16 Reorder the terms: 8 + 14x = -6 + 16 + 7x + -4x Combine like terms: -6 + 16 = 10 8 + 14x = 10 + 7x + -4x Combine like terms: 7x + -4x = 3x 8 + 14x = 10 + 3x Solving 8 + 14x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 14x + -3x = 10 + 3x + -3x Combine like terms: 14x + -3x = 11x 8 + 11x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 11x = 10 + 0 8 + 11x = 10 Add '-8' to each side of the equation. 8 + -8 + 11x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 10 + -8 11x = 10 + -8 Combine like terms: 10 + -8 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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