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Simplifying -6(x + -2) + 4(3 + -6x) = -36x Reorder the terms: -6(-2 + x) + 4(3 + -6x) = -36x (-2 * -6 + x * -6) + 4(3 + -6x) = -36x (12 + -6x) + 4(3 + -6x) = -36x 12 + -6x + (3 * 4 + -6x * 4) = -36x 12 + -6x + (12 + -24x) = -36x Reorder the terms: 12 + 12 + -6x + -24x = -36x Combine like terms: 12 + 12 = 24 24 + -6x + -24x = -36x Combine like terms: -6x + -24x = -30x 24 + -30x = -36x Solving 24 + -30x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 24 + -30x + 36x = -36x + 36x Combine like terms: -30x + 36x = 6x 24 + 6x = -36x + 36x Combine like terms: -36x + 36x = 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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