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Simplifying -6(4x + -6) = -32 + -7x Reorder the terms: -6(-6 + 4x) = -32 + -7x (-6 * -6 + 4x * -6) = -32 + -7x (36 + -24x) = -32 + -7x Solving 36 + -24x = -32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + -24x + 7x = -32 + -7x + 7x Combine like terms: -24x + 7x = -17x 36 + -17x = -32 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + -17x = -32 + 0 36 + -17x = -32 Add '-36' to each side of the equation. 36 + -36 + -17x = -32 + -36 Combine like terms: 36 + -36 = 0 0 + -17x = -32 + -36 -17x = -32 + -36 Combine like terms: -32 + -36 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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