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