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Simplifying 10(5x + -1) = 2(x + 10) Reorder the terms: 10(-1 + 5x) = 2(x + 10) (-1 * 10 + 5x * 10) = 2(x + 10) (-10 + 50x) = 2(x + 10) Reorder the terms: -10 + 50x = 2(10 + x) -10 + 50x = (10 * 2 + x * 2) -10 + 50x = (20 + 2x) Solving -10 + 50x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 50x + -2x = 20 + 2x + -2x Combine like terms: 50x + -2x = 48x -10 + 48x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 48x = 20 + 0 -10 + 48x = 20 Add '10' to each side of the equation. -10 + 10 + 48x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 48x = 20 + 10 48x = 20 + 10 Combine like terms: 20 + 10 = 30 48x = 30 Divide each side by '48'. x = 0.625 Simplifying x = 0.625
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