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Simplifying 12x + -5 = 32x + 32 + 10 Reorder the terms: -5 + 12x = 32x + 32 + 10 Reorder the terms: -5 + 12x = 32 + 10 + 32x Combine like terms: 32 + 10 = 42 -5 + 12x = 42 + 32x Solving -5 + 12x = 42 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -5 + 12x + -32x = 42 + 32x + -32x Combine like terms: 12x + -32x = -20x -5 + -20x = 42 + 32x + -32x Combine like terms: 32x + -32x = 0 -5 + -20x = 42 + 0 -5 + -20x = 42 Add '5' to each side of the equation. -5 + 5 + -20x = 42 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = 42 + 5 -20x = 42 + 5 Combine like terms: 42 + 5 = 47 -20x = 47 Divide each side by '-20'. x = -2.35 Simplifying x = -2.35
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