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Simplifying -100(x + 7) = 70(x + -10) Reorder the terms: -100(7 + x) = 70(x + -10) (7 * -100 + x * -100) = 70(x + -10) (-700 + -100x) = 70(x + -10) Reorder the terms: -700 + -100x = 70(-10 + x) -700 + -100x = (-10 * 70 + x * 70) -700 + -100x = (-700 + 70x) Add '700' to each side of the equation. -700 + 700 + -100x = -700 + 700 + 70x Combine like terms: -700 + 700 = 0 0 + -100x = -700 + 700 + 70x -100x = -700 + 700 + 70x Combine like terms: -700 + 700 = 0 -100x = 0 + 70x -100x = 70x Solving -100x = 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -100x + -70x = 70x + -70x Combine like terms: -100x + -70x = -170x -170x = 70x + -70x Combine like terms: 70x + -70x = 0 -170x = 0 Divide each side by '-170'. x = 0.0 Simplifying x = 0.0
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