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Simplifying 3x + 6(4x + -1) = 4 + -9x Reorder the terms: 3x + 6(-1 + 4x) = 4 + -9x 3x + (-1 * 6 + 4x * 6) = 4 + -9x 3x + (-6 + 24x) = 4 + -9x Reorder the terms: -6 + 3x + 24x = 4 + -9x Combine like terms: 3x + 24x = 27x -6 + 27x = 4 + -9x Solving -6 + 27x = 4 + -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. -6 + 27x + 9x = 4 + -9x + 9x Combine like terms: 27x + 9x = 36x -6 + 36x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 36x = 4 + 0 -6 + 36x = 4 Add '6' to each side of the equation. -6 + 6 + 36x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 36x = 4 + 6 36x = 4 + 6 Combine like terms: 4 + 6 = 10 36x = 10 Divide each side by '36'. x = 0.2777777778 Simplifying x = 0.2777777778
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