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Simplifying -6(4 + -3x) = 6 + -6(-4x + -1) (4 * -6 + -3x * -6) = 6 + -6(-4x + -1) (-24 + 18x) = 6 + -6(-4x + -1) Reorder the terms: -24 + 18x = 6 + -6(-1 + -4x) -24 + 18x = 6 + (-1 * -6 + -4x * -6) -24 + 18x = 6 + (6 + 24x) Combine like terms: 6 + 6 = 12 -24 + 18x = 12 + 24x Solving -24 + 18x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 18x + -24x = 12 + 24x + -24x Combine like terms: 18x + -24x = -6x -24 + -6x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -6x = 12 + 0 -24 + -6x = 12 Add '24' to each side of the equation. -24 + 24 + -6x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 12 + 24 -6x = 12 + 24 Combine like terms: 12 + 24 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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