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Simplifying 100(6x + -10) = 40(435 + 100x) Reorder the terms: 100(-10 + 6x) = 40(435 + 100x) (-10 * 100 + 6x * 100) = 40(435 + 100x) (-1000 + 600x) = 40(435 + 100x) -1000 + 600x = (435 * 40 + 100x * 40) -1000 + 600x = (17400 + 4000x) Solving -1000 + 600x = 17400 + 4000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4000x' to each side of the equation. -1000 + 600x + -4000x = 17400 + 4000x + -4000x Combine like terms: 600x + -4000x = -3400x -1000 + -3400x = 17400 + 4000x + -4000x Combine like terms: 4000x + -4000x = 0 -1000 + -3400x = 17400 + 0 -1000 + -3400x = 17400 Add '1000' to each side of the equation. -1000 + 1000 + -3400x = 17400 + 1000 Combine like terms: -1000 + 1000 = 0 0 + -3400x = 17400 + 1000 -3400x = 17400 + 1000 Combine like terms: 17400 + 1000 = 18400 -3400x = 18400 Divide each side by '-3400'. x = -5.411764706 Simplifying x = -5.411764706
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