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Simplifying 2x + 8 + 4x + 6 = 3x + 12 Reorder the terms: 8 + 6 + 2x + 4x = 3x + 12 Combine like terms: 8 + 6 = 14 14 + 2x + 4x = 3x + 12 Combine like terms: 2x + 4x = 6x 14 + 6x = 3x + 12 Reorder the terms: 14 + 6x = 12 + 3x Solving 14 + 6x = 12 + 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. 14 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x 14 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 3x = 12 + 0 14 + 3x = 12 Add '-14' to each side of the equation. 14 + -14 + 3x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 12 + -14 3x = 12 + -14 Combine like terms: 12 + -14 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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