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Simplifying 6x + 1 + 4x + -6 = 45 Reorder the terms: 1 + -6 + 6x + 4x = 45 Combine like terms: 1 + -6 = -5 -5 + 6x + 4x = 45 Combine like terms: 6x + 4x = 10x -5 + 10x = 45 Solving -5 + 10x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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