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Simplifying 5(9x + 1) = 44x + 7 Reorder the terms: 5(1 + 9x) = 44x + 7 (1 * 5 + 9x * 5) = 44x + 7 (5 + 45x) = 44x + 7 Reorder the terms: 5 + 45x = 7 + 44x Solving 5 + 45x = 7 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 5 + 45x + -44x = 7 + 44x + -44x Combine like terms: 45x + -44x = 1x 5 + 1x = 7 + 44x + -44x Combine like terms: 44x + -44x = 0 5 + 1x = 7 + 0 5 + 1x = 7 Add '-5' to each side of the equation. 5 + -5 + 1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 7 + -5 1x = 7 + -5 Combine like terms: 7 + -5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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