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Simplifying -6(6x + -3) = -24 + 6x Reorder the terms: -6(-3 + 6x) = -24 + 6x (-3 * -6 + 6x * -6) = -24 + 6x (18 + -36x) = -24 + 6x Solving 18 + -36x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -36x + -6x = -24 + 6x + -6x Combine like terms: -36x + -6x = -42x 18 + -42x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -42x = -24 + 0 18 + -42x = -24 Add '-18' to each side of the equation. 18 + -18 + -42x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -42x = -24 + -18 -42x = -24 + -18 Combine like terms: -24 + -18 = -42 -42x = -42 Divide each side by '-42'. x = 1 Simplifying x = 1
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