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Simplifying 12x + -4 = 5x + 45 Reorder the terms: -4 + 12x = 5x + 45 Reorder the terms: -4 + 12x = 45 + 5x Solving -4 + 12x = 45 + 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. -4 + 12x + -5x = 45 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = 45 + 0 -4 + 7x = 45 Add '4' to each side of the equation. -4 + 4 + 7x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 45 + 4 7x = 45 + 4 Combine like terms: 45 + 4 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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