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Simplifying -4 + -7(5x + -7) = 49 + -39x Reorder the terms: -4 + -7(-7 + 5x) = 49 + -39x -4 + (-7 * -7 + 5x * -7) = 49 + -39x -4 + (49 + -35x) = 49 + -39x Combine like terms: -4 + 49 = 45 45 + -35x = 49 + -39x Solving 45 + -35x = 49 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 45 + -35x + 39x = 49 + -39x + 39x Combine like terms: -35x + 39x = 4x 45 + 4x = 49 + -39x + 39x Combine like terms: -39x + 39x = 0 45 + 4x = 49 + 0 45 + 4x = 49 Add '-45' to each side of the equation. 45 + -45 + 4x = 49 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 49 + -45 4x = 49 + -45 Combine like terms: 49 + -45 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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