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Simplifying 5(10x + -20) = 2x + -5 Reorder the terms: 5(-20 + 10x) = 2x + -5 (-20 * 5 + 10x * 5) = 2x + -5 (-100 + 50x) = 2x + -5 Reorder the terms: -100 + 50x = -5 + 2x Solving -100 + 50x = -5 + 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. -100 + 50x + -2x = -5 + 2x + -2x Combine like terms: 50x + -2x = 48x -100 + 48x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -100 + 48x = -5 + 0 -100 + 48x = -5 Add '100' to each side of the equation. -100 + 100 + 48x = -5 + 100 Combine like terms: -100 + 100 = 0 0 + 48x = -5 + 100 48x = -5 + 100 Combine like terms: -5 + 100 = 95 48x = 95 Divide each side by '48'. x = 1.979166667 Simplifying x = 1.979166667
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