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Simplifying 5(-39x + 5) = -42(45 + x) Reorder the terms: 5(5 + -39x) = -42(45 + x) (5 * 5 + -39x * 5) = -42(45 + x) (25 + -195x) = -42(45 + x) 25 + -195x = (45 * -42 + x * -42) 25 + -195x = (-1890 + -42x) Solving 25 + -195x = -1890 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 25 + -195x + 42x = -1890 + -42x + 42x Combine like terms: -195x + 42x = -153x 25 + -153x = -1890 + -42x + 42x Combine like terms: -42x + 42x = 0 25 + -153x = -1890 + 0 25 + -153x = -1890 Add '-25' to each side of the equation. 25 + -25 + -153x = -1890 + -25 Combine like terms: 25 + -25 = 0 0 + -153x = -1890 + -25 -153x = -1890 + -25 Combine like terms: -1890 + -25 = -1915 -153x = -1915 Divide each side by '-153'. x = 12.51633987 Simplifying x = 12.51633987
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