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Simplifying 3(4x + -8) = 5x + -3 Reorder the terms: 3(-8 + 4x) = 5x + -3 (-8 * 3 + 4x * 3) = 5x + -3 (-24 + 12x) = 5x + -3 Reorder the terms: -24 + 12x = -3 + 5x Solving -24 + 12x = -3 + 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. -24 + 12x + -5x = -3 + 5x + -5x Combine like terms: 12x + -5x = 7x -24 + 7x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 7x = -3 + 0 -24 + 7x = -3 Add '24' to each side of the equation. -24 + 24 + 7x = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -3 + 24 7x = -3 + 24 Combine like terms: -3 + 24 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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