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