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Simplifying 12x + -5 = 2x + 45 Reorder the terms: -5 + 12x = 2x + 45 Reorder the terms: -5 + 12x = 45 + 2x Solving -5 + 12x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 12x + -2x = 45 + 2x + -2x Combine like terms: 12x + -2x = 10x -5 + 10x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 10x = 45 + 0 -5 + 10x = 45 Add '5' to each side of the equation. -5 + 5 + 10x = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 45 + 5 10x = 45 + 5 Combine like terms: 45 + 5 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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