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Simplifying 3(4x + -8) = 0.20(35x + 30) Reorder the terms: 3(-8 + 4x) = 0.20(35x + 30) (-8 * 3 + 4x * 3) = 0.20(35x + 30) (-24 + 12x) = 0.20(35x + 30) Reorder the terms: -24 + 12x = 0.20(30 + 35x) -24 + 12x = (30 * 0.20 + 35x * 0.20) -24 + 12x = (6 + 7x) Solving -24 + 12x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 12x + -7x = 6 + 7x + -7x Combine like terms: 12x + -7x = 5x -24 + 5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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