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Simplifying 9x + 6(3x + -4) = 12 + -9x Reorder the terms: 9x + 6(-4 + 3x) = 12 + -9x 9x + (-4 * 6 + 3x * 6) = 12 + -9x 9x + (-24 + 18x) = 12 + -9x Reorder the terms: -24 + 9x + 18x = 12 + -9x Combine like terms: 9x + 18x = 27x -24 + 27x = 12 + -9x Solving -24 + 27x = 12 + -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 + 27x + 9x = 12 + -9x + 9x Combine like terms: 27x + 9x = 36x -24 + 36x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 36x = 12 + 0 -24 + 36x = 12 Add '24' to each side of the equation. -24 + 24 + 36x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 36x = 12 + 24 36x = 12 + 24 Combine like terms: 12 + 24 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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