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