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Simplifying 3x + 12x + -8 = 4x + 14 Reorder the terms: -8 + 3x + 12x = 4x + 14 Combine like terms: 3x + 12x = 15x -8 + 15x = 4x + 14 Reorder the terms: -8 + 15x = 14 + 4x Solving -8 + 15x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 15x + -4x = 14 + 4x + -4x Combine like terms: 15x + -4x = 11x -8 + 11x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 11x = 14 + 0 -8 + 11x = 14 Add '8' to each side of the equation. -8 + 8 + 11x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 14 + 8 11x = 14 + 8 Combine like terms: 14 + 8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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