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Simplifying 4(40x + -1) = 10(10x + 40) Reorder the terms: 4(-1 + 40x) = 10(10x + 40) (-1 * 4 + 40x * 4) = 10(10x + 40) (-4 + 160x) = 10(10x + 40) Reorder the terms: -4 + 160x = 10(40 + 10x) -4 + 160x = (40 * 10 + 10x * 10) -4 + 160x = (400 + 100x) Solving -4 + 160x = 400 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -4 + 160x + -100x = 400 + 100x + -100x Combine like terms: 160x + -100x = 60x -4 + 60x = 400 + 100x + -100x Combine like terms: 100x + -100x = 0 -4 + 60x = 400 + 0 -4 + 60x = 400 Add '4' to each side of the equation. -4 + 4 + 60x = 400 + 4 Combine like terms: -4 + 4 = 0 0 + 60x = 400 + 4 60x = 400 + 4 Combine like terms: 400 + 4 = 404 60x = 404 Divide each side by '60'. x = 6.733333333 Simplifying x = 6.733333333
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