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Simplifying -9(-8x + 4) + 12(-2 + 6x) = x + -6 + -1x Reorder the terms: -9(4 + -8x) + 12(-2 + 6x) = x + -6 + -1x (4 * -9 + -8x * -9) + 12(-2 + 6x) = x + -6 + -1x (-36 + 72x) + 12(-2 + 6x) = x + -6 + -1x -36 + 72x + (-2 * 12 + 6x * 12) = x + -6 + -1x -36 + 72x + (-24 + 72x) = x + -6 + -1x Reorder the terms: -36 + -24 + 72x + 72x = x + -6 + -1x Combine like terms: -36 + -24 = -60 -60 + 72x + 72x = x + -6 + -1x Combine like terms: 72x + 72x = 144x -60 + 144x = x + -6 + -1x Reorder the terms: -60 + 144x = -6 + x + -1x Combine like terms: x + -1x = 0 -60 + 144x = -6 + 0 -60 + 144x = -6 Solving -60 + 144x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 144x = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 144x = -6 + 60 144x = -6 + 60 Combine like terms: -6 + 60 = 54 144x = 54 Divide each side by '144'. x = 0.375 Simplifying x = 0.375
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