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Simplifying -6(1 + -6x) + 6(-9x + -3) = -6x + -18x (1 * -6 + -6x * -6) + 6(-9x + -3) = -6x + -18x (-6 + 36x) + 6(-9x + -3) = -6x + -18x Reorder the terms: -6 + 36x + 6(-3 + -9x) = -6x + -18x -6 + 36x + (-3 * 6 + -9x * 6) = -6x + -18x -6 + 36x + (-18 + -54x) = -6x + -18x Reorder the terms: -6 + -18 + 36x + -54x = -6x + -18x Combine like terms: -6 + -18 = -24 -24 + 36x + -54x = -6x + -18x Combine like terms: 36x + -54x = -18x -24 + -18x = -6x + -18x Combine like terms: -6x + -18x = -24x -24 + -18x = -24x Solving -24 + -18x = -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 = -24x + 24x Combine like terms: -18x + 24x = 6x -24 + 6x = -24x + 24x Combine like terms: -24x + 24x = 0 -24 + 6x = 0 Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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