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Simplifying 12x + 3x + -6 = 10x + 4 Reorder the terms: -6 + 12x + 3x = 10x + 4 Combine like terms: 12x + 3x = 15x -6 + 15x = 10x + 4 Reorder the terms: -6 + 15x = 4 + 10x Solving -6 + 15x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 15x + -10x = 4 + 10x + -10x Combine like terms: 15x + -10x = 5x -6 + 5x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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