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Simplifying 8(3x + 2) = 4(-8 + 5x) Reorder the terms: 8(2 + 3x) = 4(-8 + 5x) (2 * 8 + 3x * 8) = 4(-8 + 5x) (16 + 24x) = 4(-8 + 5x) 16 + 24x = (-8 * 4 + 5x * 4) 16 + 24x = (-32 + 20x) Solving 16 + 24x = -32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 16 + 24x + -20x = -32 + 20x + -20x Combine like terms: 24x + -20x = 4x 16 + 4x = -32 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + 4x = -32 + 0 16 + 4x = -32 Add '-16' to each side of the equation. 16 + -16 + 4x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -32 + -16 4x = -32 + -16 Combine like terms: -32 + -16 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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