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Simplifying -7x + 9 = 4x + -46 Reorder the terms: 9 + -7x = 4x + -46 Reorder the terms: 9 + -7x = -46 + 4x Solving 9 + -7x = -46 + 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. 9 + -7x + -4x = -46 + 4x + -4x Combine like terms: -7x + -4x = -11x 9 + -11x = -46 + 4x + -4x Combine like terms: 4x + -4x = 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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