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Simplifying 3x2 + 15x + -12 = 3x2 + 10x + 3 Reorder the terms: -12 + 15x + 3x2 = 3x2 + 10x + 3 Reorder the terms: -12 + 15x + 3x2 = 3 + 10x + 3x2 Add '-3x2' to each side of the equation. -12 + 15x + 3x2 + -3x2 = 3 + 10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 15x + 0 = 3 + 10x + 3x2 + -3x2 -12 + 15x = 3 + 10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 15x = 3 + 10x + 0 -12 + 15x = 3 + 10x Solving -12 + 15x = 3 + 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. -12 + 15x + -10x = 3 + 10x + -10x Combine like terms: 15x + -10x = 5x -12 + 5x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 5x = 3 + 0 -12 + 5x = 3 Add '12' to each side of the equation. -12 + 12 + 5x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 3 + 12 5x = 3 + 12 Combine like terms: 3 + 12 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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