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Simplifying -10(-10x + 7) = 10(5x + 8) Reorder the terms: -10(7 + -10x) = 10(5x + 8) (7 * -10 + -10x * -10) = 10(5x + 8) (-70 + 100x) = 10(5x + 8) Reorder the terms: -70 + 100x = 10(8 + 5x) -70 + 100x = (8 * 10 + 5x * 10) -70 + 100x = (80 + 50x) Solving -70 + 100x = 80 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -70 + 100x + -50x = 80 + 50x + -50x Combine like terms: 100x + -50x = 50x -70 + 50x = 80 + 50x + -50x Combine like terms: 50x + -50x = 0 -70 + 50x = 80 + 0 -70 + 50x = 80 Add '70' to each side of the equation. -70 + 70 + 50x = 80 + 70 Combine like terms: -70 + 70 = 0 0 + 50x = 80 + 70 50x = 80 + 70 Combine like terms: 80 + 70 = 150 50x = 150 Divide each side by '50'. x = 3 Simplifying x = 3
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