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Simplifying 5x + -4(3 + -6x) = 2 + -7x 5x + (3 * -4 + -6x * -4) = 2 + -7x 5x + (-12 + 24x) = 2 + -7x Reorder the terms: -12 + 5x + 24x = 2 + -7x Combine like terms: 5x + 24x = 29x -12 + 29x = 2 + -7x Solving -12 + 29x = 2 + -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. -12 + 29x + 7x = 2 + -7x + 7x Combine like terms: 29x + 7x = 36x -12 + 36x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 36x = 2 + 0 -12 + 36x = 2 Add '12' to each side of the equation. -12 + 12 + 36x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 36x = 2 + 12 36x = 2 + 12 Combine like terms: 2 + 12 = 14 36x = 14 Divide each side by '36'. x = 0.3888888889 Simplifying x = 0.3888888889
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