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Simplifying 8(4x + -10) = 12 + 5x Reorder the terms: 8(-10 + 4x) = 12 + 5x (-10 * 8 + 4x * 8) = 12 + 5x (-80 + 32x) = 12 + 5x Solving -80 + 32x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -80 + 32x + -5x = 12 + 5x + -5x Combine like terms: 32x + -5x = 27x -80 + 27x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -80 + 27x = 12 + 0 -80 + 27x = 12 Add '80' to each side of the equation. -80 + 80 + 27x = 12 + 80 Combine like terms: -80 + 80 = 0 0 + 27x = 12 + 80 27x = 12 + 80 Combine like terms: 12 + 80 = 92 27x = 92 Divide each side by '27'. x = 3.407407407 Simplifying x = 3.407407407
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