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Simplifying 7x + 4x + -45 = 60 + 4x Reorder the terms: -45 + 7x + 4x = 60 + 4x Combine like terms: 7x + 4x = 11x -45 + 11x = 60 + 4x Solving -45 + 11x = 60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 11x + -4x = 60 + 4x + -4x Combine like terms: 11x + -4x = 7x -45 + 7x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 7x = 60 + 0 -45 + 7x = 60 Add '45' to each side of the equation. -45 + 45 + 7x = 60 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 60 + 45 7x = 60 + 45 Combine like terms: 60 + 45 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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