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Simplifying 12x2 + 30x + -10x + -25 + 4x + -12x2 + -5 + 15x = 48 Reorder the terms: -25 + -5 + 30x + -10x + 4x + 15x + 12x2 + -12x2 = 48 Combine like terms: -25 + -5 = -30 -30 + 30x + -10x + 4x + 15x + 12x2 + -12x2 = 48 Combine like terms: 30x + -10x = 20x -30 + 20x + 4x + 15x + 12x2 + -12x2 = 48 Combine like terms: 20x + 4x = 24x -30 + 24x + 15x + 12x2 + -12x2 = 48 Combine like terms: 24x + 15x = 39x -30 + 39x + 12x2 + -12x2 = 48 Combine like terms: 12x2 + -12x2 = 0 -30 + 39x + 0 = 48 -30 + 39x = 48 Solving -30 + 39x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 39x = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 39x = 48 + 30 39x = 48 + 30 Combine like terms: 48 + 30 = 78 39x = 78 Divide each side by '39'. x = 2 Simplifying x = 2
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