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Simplifying 12(x + -5) = 6(4 + -12x) Reorder the terms: 12(-5 + x) = 6(4 + -12x) (-5 * 12 + x * 12) = 6(4 + -12x) (-60 + 12x) = 6(4 + -12x) -60 + 12x = (4 * 6 + -12x * 6) -60 + 12x = (24 + -72x) Solving -60 + 12x = 24 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -60 + 12x + 72x = 24 + -72x + 72x Combine like terms: 12x + 72x = 84x -60 + 84x = 24 + -72x + 72x Combine like terms: -72x + 72x = 0 -60 + 84x = 24 + 0 -60 + 84x = 24 Add '60' to each side of the equation. -60 + 60 + 84x = 24 + 60 Combine like terms: -60 + 60 = 0 0 + 84x = 24 + 60 84x = 24 + 60 Combine like terms: 24 + 60 = 84 84x = 84 Divide each side by '84'. x = 1 Simplifying x = 1
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