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Simplifying 5x + 46 = 100 + -4x Reorder the terms: 46 + 5x = 100 + -4x Solving 46 + 5x = 100 + -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. 46 + 5x + 4x = 100 + -4x + 4x Combine like terms: 5x + 4x = 9x 46 + 9x = 100 + -4x + 4x Combine like terms: -4x + 4x = 0 46 + 9x = 100 + 0 46 + 9x = 100 Add '-46' to each side of the equation. 46 + -46 + 9x = 100 + -46 Combine like terms: 46 + -46 = 0 0 + 9x = 100 + -46 9x = 100 + -46 Combine like terms: 100 + -46 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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