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Simplifying 5(1 + 7x) = 44 + -4x (1 * 5 + 7x * 5) = 44 + -4x (5 + 35x) = 44 + -4x Solving 5 + 35x = 44 + -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. 5 + 35x + 4x = 44 + -4x + 4x Combine like terms: 35x + 4x = 39x 5 + 39x = 44 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 39x = 44 + 0 5 + 39x = 44 Add '-5' to each side of the equation. 5 + -5 + 39x = 44 + -5 Combine like terms: 5 + -5 = 0 0 + 39x = 44 + -5 39x = 44 + -5 Combine like terms: 44 + -5 = 39 39x = 39 Divide each side by '39'. x = 1 Simplifying x = 1
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