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Simplifying 3x + -12 + 4x + 32 = 10 + -5x + 15 Reorder the terms: -12 + 32 + 3x + 4x = 10 + -5x + 15 Combine like terms: -12 + 32 = 20 20 + 3x + 4x = 10 + -5x + 15 Combine like terms: 3x + 4x = 7x 20 + 7x = 10 + -5x + 15 Reorder the terms: 20 + 7x = 10 + 15 + -5x Combine like terms: 10 + 15 = 25 20 + 7x = 25 + -5x Solving 20 + 7x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + 7x + 5x = 25 + -5x + 5x Combine like terms: 7x + 5x = 12x 20 + 12x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 12x = 25 + 0 20 + 12x = 25 Add '-20' to each side of the equation. 20 + -20 + 12x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 25 + -20 12x = 25 + -20 Combine like terms: 25 + -20 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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