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Simplifying 4x + 50 = 5x + 45 Reorder the terms: 50 + 4x = 5x + 45 Reorder the terms: 50 + 4x = 45 + 5x Solving 50 + 4x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + 4x + -5x = 45 + 5x + -5x Combine like terms: 4x + -5x = -1x 50 + -1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + -1x = 45 + 0 50 + -1x = 45 Add '-50' to each side of the equation. 50 + -50 + -1x = 45 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 45 + -50 -1x = 45 + -50 Combine like terms: 45 + -50 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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