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Simplifying 12(7x + -2) = 9x + -6 Reorder the terms: 12(-2 + 7x) = 9x + -6 (-2 * 12 + 7x * 12) = 9x + -6 (-24 + 84x) = 9x + -6 Reorder the terms: -24 + 84x = -6 + 9x Solving -24 + 84x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 84x + -9x = -6 + 9x + -9x Combine like terms: 84x + -9x = 75x -24 + 75x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 75x = -6 + 0 -24 + 75x = -6 Add '24' to each side of the equation. -24 + 24 + 75x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 75x = -6 + 24 75x = -6 + 24 Combine like terms: -6 + 24 = 18 75x = 18 Divide each side by '75'. x = 0.24 Simplifying x = 0.24
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