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Simplifying -10(10x + -5) = 10 + 4(10 + x) Reorder the terms: -10(-5 + 10x) = 10 + 4(10 + x) (-5 * -10 + 10x * -10) = 10 + 4(10 + x) (50 + -100x) = 10 + 4(10 + x) 50 + -100x = 10 + (10 * 4 + x * 4) 50 + -100x = 10 + (40 + 4x) Combine like terms: 10 + 40 = 50 50 + -100x = 50 + 4x Add '-50' to each side of the equation. 50 + -50 + -100x = 50 + -50 + 4x Combine like terms: 50 + -50 = 0 0 + -100x = 50 + -50 + 4x -100x = 50 + -50 + 4x Combine like terms: 50 + -50 = 0 -100x = 0 + 4x -100x = 4x Solving -100x = 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. -100x + -4x = 4x + -4x Combine like terms: -100x + -4x = -104x -104x = 4x + -4x Combine like terms: 4x + -4x = 0 -104x = 0 Divide each side by '-104'. x = 0 Simplifying x = 0
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