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Simplifying -4(6x + 6) = 40 + 8x Reorder the terms: -4(6 + 6x) = 40 + 8x (6 * -4 + 6x * -4) = 40 + 8x (-24 + -24x) = 40 + 8x Solving -24 + -24x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + -24x + -8x = 40 + 8x + -8x Combine like terms: -24x + -8x = -32x -24 + -32x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -32x = 40 + 0 -24 + -32x = 40 Add '24' to each side of the equation. -24 + 24 + -32x = 40 + 24 Combine like terms: -24 + 24 = 0 0 + -32x = 40 + 24 -32x = 40 + 24 Combine like terms: 40 + 24 = 64 -32x = 64 Divide each side by '-32'. x = -2 Simplifying x = -2
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