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Simplifying 3(6x + -5) = 12x + 24 Reorder the terms: 3(-5 + 6x) = 12x + 24 (-5 * 3 + 6x * 3) = 12x + 24 (-15 + 18x) = 12x + 24 Reorder the terms: -15 + 18x = 24 + 12x Solving -15 + 18x = 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. -15 + 18x + -12x = 24 + 12x + -12x Combine like terms: 18x + -12x = 6x -15 + 6x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 6x = 24 + 0 -15 + 6x = 24 Add '15' to each side of the equation. -15 + 15 + 6x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 24 + 15 6x = 24 + 15 Combine like terms: 24 + 15 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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