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Simplifying 12x + -32 = 6x + 40 Reorder the terms: -32 + 12x = 6x + 40 Reorder the terms: -32 + 12x = 40 + 6x Solving -32 + 12x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 12x + -6x = 40 + 6x + -6x Combine like terms: 12x + -6x = 6x -32 + 6x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 6x = 40 + 0 -32 + 6x = 40 Add '32' to each side of the equation. -32 + 32 + 6x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 40 + 32 6x = 40 + 32 Combine like terms: 40 + 32 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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