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