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Simplifying 5(20x + 10) = 2(x + 20) Reorder the terms: 5(10 + 20x) = 2(x + 20) (10 * 5 + 20x * 5) = 2(x + 20) (50 + 100x) = 2(x + 20) Reorder the terms: 50 + 100x = 2(20 + x) 50 + 100x = (20 * 2 + x * 2) 50 + 100x = (40 + 2x) Solving 50 + 100x = 40 + 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. 50 + 100x + -2x = 40 + 2x + -2x Combine like terms: 100x + -2x = 98x 50 + 98x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 98x = 40 + 0 50 + 98x = 40 Add '-50' to each side of the equation. 50 + -50 + 98x = 40 + -50 Combine like terms: 50 + -50 = 0 0 + 98x = 40 + -50 98x = 40 + -50 Combine like terms: 40 + -50 = -10 98x = -10 Divide each side by '98'. x = -0.1020408163 Simplifying x = -0.1020408163
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