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Simplifying 4x + 9 = 5x + 4 Reorder the terms: 9 + 4x = 5x + 4 Reorder the terms: 9 + 4x = 4 + 5x Solving 9 + 4x = 4 + 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. 9 + 4x + -5x = 4 + 5x + -5x Combine like terms: 4x + -5x = -1x 9 + -1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -1x = 4 + 0 9 + -1x = 4 Add '-9' to each side of the equation. 9 + -9 + -1x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 4 + -9 -1x = 4 + -9 Combine like terms: 4 + -9 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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