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Simplifying 12x + -14 = 2x + 28 + 4x Reorder the terms: -14 + 12x = 2x + 28 + 4x Reorder the terms: -14 + 12x = 28 + 2x + 4x Combine like terms: 2x + 4x = 6x -14 + 12x = 28 + 6x Solving -14 + 12x = 28 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 12x + -6x = 28 + 6x + -6x Combine like terms: 12x + -6x = 6x -14 + 6x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 6x = 28 + 0 -14 + 6x = 28 Add '14' to each side of the equation. -14 + 14 + 6x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 28 + 14 6x = 28 + 14 Combine like terms: 28 + 14 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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