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Simplifying -8(x + 3) + 8(5 + -4x) = -64 Reorder the terms: -8(3 + x) + 8(5 + -4x) = -64 (3 * -8 + x * -8) + 8(5 + -4x) = -64 (-24 + -8x) + 8(5 + -4x) = -64 -24 + -8x + (5 * 8 + -4x * 8) = -64 -24 + -8x + (40 + -32x) = -64 Reorder the terms: -24 + 40 + -8x + -32x = -64 Combine like terms: -24 + 40 = 16 16 + -8x + -32x = -64 Combine like terms: -8x + -32x = -40x 16 + -40x = -64 Solving 16 + -40x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -40x = -64 + -16 Combine like terms: 16 + -16 = 0 0 + -40x = -64 + -16 -40x = -64 + -16 Combine like terms: -64 + -16 = -80 -40x = -80 Divide each side by '-40'. x = 2 Simplifying x = 2
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