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Simplifying 12(x + -2) = 7x + 6 Reorder the terms: 12(-2 + x) = 7x + 6 (-2 * 12 + x * 12) = 7x + 6 (-24 + 12x) = 7x + 6 Reorder the terms: -24 + 12x = 6 + 7x Solving -24 + 12x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 12x + -7x = 6 + 7x + -7x Combine like terms: 12x + -7x = 5x -24 + 5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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