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Simplifying 2(5 + -1x) = 10(20x + -7) (5 * 2 + -1x * 2) = 10(20x + -7) (10 + -2x) = 10(20x + -7) Reorder the terms: 10 + -2x = 10(-7 + 20x) 10 + -2x = (-7 * 10 + 20x * 10) 10 + -2x = (-70 + 200x) Solving 10 + -2x = -70 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 10 + -2x + -200x = -70 + 200x + -200x Combine like terms: -2x + -200x = -202x 10 + -202x = -70 + 200x + -200x Combine like terms: 200x + -200x = 0 10 + -202x = -70 + 0 10 + -202x = -70 Add '-10' to each side of the equation. 10 + -10 + -202x = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -202x = -70 + -10 -202x = -70 + -10 Combine like terms: -70 + -10 = -80 -202x = -80 Divide each side by '-202'. x = 0.396039604 Simplifying x = 0.396039604
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