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Simplifying 4(5 + -1x) = 8(20x + -9) (5 * 4 + -1x * 4) = 8(20x + -9) (20 + -4x) = 8(20x + -9) Reorder the terms: 20 + -4x = 8(-9 + 20x) 20 + -4x = (-9 * 8 + 20x * 8) 20 + -4x = (-72 + 160x) Solving 20 + -4x = -72 + 160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160x' to each side of the equation. 20 + -4x + -160x = -72 + 160x + -160x Combine like terms: -4x + -160x = -164x 20 + -164x = -72 + 160x + -160x Combine like terms: 160x + -160x = 0 20 + -164x = -72 + 0 20 + -164x = -72 Add '-20' to each side of the equation. 20 + -20 + -164x = -72 + -20 Combine like terms: 20 + -20 = 0 0 + -164x = -72 + -20 -164x = -72 + -20 Combine like terms: -72 + -20 = -92 -164x = -92 Divide each side by '-164'. x = 0.5609756098 Simplifying x = 0.5609756098
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