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Simplifying 4(3x + -8) = 6 + -18x Reorder the terms: 4(-8 + 3x) = 6 + -18x (-8 * 4 + 3x * 4) = 6 + -18x (-32 + 12x) = 6 + -18x Solving -32 + 12x = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -32 + 12x + 18x = 6 + -18x + 18x Combine like terms: 12x + 18x = 30x -32 + 30x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 -32 + 30x = 6 + 0 -32 + 30x = 6 Add '32' to each side of the equation. -32 + 32 + 30x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 30x = 6 + 32 30x = 6 + 32 Combine like terms: 6 + 32 = 38 30x = 38 Divide each side by '30'. x = 1.266666667 Simplifying x = 1.266666667
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