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Simplifying 10(40) = 20(1 + x) Multiply 10 * 40 400 = 20(1 + x) 400 = (1 * 20 + x * 20) 400 = (20 + 20x) Solving 400 = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 400 + -20x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 400 + -20x = 20 + 0 400 + -20x = 20 Add '-400' to each side of the equation. 400 + -400 + -20x = 20 + -400 Combine like terms: 400 + -400 = 0 0 + -20x = 20 + -400 -20x = 20 + -400 Combine like terms: 20 + -400 = -380 -20x = -380 Divide each side by '-20'. x = 19 Simplifying x = 19
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