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Simplifying 4x + 7x + -45 = 75 + -4x Reorder the terms: -45 + 4x + 7x = 75 + -4x Combine like terms: 4x + 7x = 11x -45 + 11x = 75 + -4x Solving -45 + 11x = 75 + -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 = 75 + -4x + 4x Combine like terms: 11x + 4x = 15x -45 + 15x = 75 + -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 15x = 75 + 0 -45 + 15x = 75 Add '45' to each side of the equation. -45 + 45 + 15x = 75 + 45 Combine like terms: -45 + 45 = 0 0 + 15x = 75 + 45 15x = 75 + 45 Combine like terms: 75 + 45 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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