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Simplifying 71 + 9x = 101 + 4x Solving 71 + 9x = 101 + 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. 71 + 9x + -4x = 101 + 4x + -4x Combine like terms: 9x + -4x = 5x 71 + 5x = 101 + 4x + -4x Combine like terms: 4x + -4x = 0 71 + 5x = 101 + 0 71 + 5x = 101 Add '-71' to each side of the equation. 71 + -71 + 5x = 101 + -71 Combine like terms: 71 + -71 = 0 0 + 5x = 101 + -71 5x = 101 + -71 Combine like terms: 101 + -71 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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