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Simplifying 6x + 4x + -45 = 60 + -5x Reorder the terms: -45 + 6x + 4x = 60 + -5x Combine like terms: 6x + 4x = 10x -45 + 10x = 60 + -5x Solving -45 + 10x = 60 + -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. -45 + 10x + 5x = 60 + -5x + 5x Combine like terms: 10x + 5x = 15x -45 + 15x = 60 + -5x + 5x Combine like terms: -5x + 5x = 0 -45 + 15x = 60 + 0 -45 + 15x = 60 Add '45' to each side of the equation. -45 + 45 + 15x = 60 + 45 Combine like terms: -45 + 45 = 0 0 + 15x = 60 + 45 15x = 60 + 45 Combine like terms: 60 + 45 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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