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Simplifying -8(4 + 4x) = -8x + 40 (4 * -8 + 4x * -8) = -8x + 40 (-32 + -32x) = -8x + 40 Reorder the terms: -32 + -32x = 40 + -8x Solving -32 + -32x = 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. -32 + -32x + 8x = 40 + -8x + 8x Combine like terms: -32x + 8x = -24x -32 + -24x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + -24x = 40 + 0 -32 + -24x = 40 Add '32' to each side of the equation. -32 + 32 + -24x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = 40 + 32 -24x = 40 + 32 Combine like terms: 40 + 32 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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