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Simplifying 12x + 2x + -6 = 12 + -3x + 4 Reorder the terms: -6 + 12x + 2x = 12 + -3x + 4 Combine like terms: 12x + 2x = 14x -6 + 14x = 12 + -3x + 4 Reorder the terms: -6 + 14x = 12 + 4 + -3x Combine like terms: 12 + 4 = 16 -6 + 14x = 16 + -3x Solving -6 + 14x = 16 + -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. -6 + 14x + 3x = 16 + -3x + 3x Combine like terms: 14x + 3x = 17x -6 + 17x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 17x = 16 + 0 -6 + 17x = 16 Add '6' to each side of the equation. -6 + 6 + 17x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 16 + 6 17x = 16 + 6 Combine like terms: 16 + 6 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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