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Simplifying 12x + -72 = 6x + -42 Reorder the terms: -72 + 12x = 6x + -42 Reorder the terms: -72 + 12x = -42 + 6x Solving -72 + 12x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -72 + 12x + -6x = -42 + 6x + -6x Combine like terms: 12x + -6x = 6x -72 + 6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -72 + 6x = -42 + 0 -72 + 6x = -42 Add '72' to each side of the equation. -72 + 72 + 6x = -42 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -42 + 72 6x = -42 + 72 Combine like terms: -42 + 72 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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