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Simplifying 4x + -9 = 46 + -7x Reorder the terms: -9 + 4x = 46 + -7x Solving -9 + 4x = 46 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9 + 4x + 7x = 46 + -7x + 7x Combine like terms: 4x + 7x = 11x -9 + 11x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 11x = 46 + 0 -9 + 11x = 46 Add '9' to each side of the equation. -9 + 9 + 11x = 46 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 46 + 9 11x = 46 + 9 Combine like terms: 46 + 9 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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