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Simplifying 12x + 3x + -46 = 3x + 7x + -21 Reorder the terms: -46 + 12x + 3x = 3x + 7x + -21 Combine like terms: 12x + 3x = 15x -46 + 15x = 3x + 7x + -21 Reorder the terms: -46 + 15x = -21 + 3x + 7x Combine like terms: 3x + 7x = 10x -46 + 15x = -21 + 10x Solving -46 + 15x = -21 + 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. -46 + 15x + -10x = -21 + 10x + -10x Combine like terms: 15x + -10x = 5x -46 + 5x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -46 + 5x = -21 + 0 -46 + 5x = -21 Add '46' to each side of the equation. -46 + 46 + 5x = -21 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = -21 + 46 5x = -21 + 46 Combine like terms: -21 + 46 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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