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Simplifying 7x(10 + -3w) = 5(15 + -4w) (10 * 7x + -3w * 7x) = 5(15 + -4w) Reorder the terms: (-21wx + 70x) = 5(15 + -4w) (-21wx + 70x) = 5(15 + -4w) -21wx + 70x = (15 * 5 + -4w * 5) -21wx + 70x = (75 + -20w) Solving -21wx + 70x = 75 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. -21wx + 20w + 70x = 75 + -20w + 20w Reorder the terms: 20w + -21wx + 70x = 75 + -20w + 20w Combine like terms: -20w + 20w = 0 20w + -21wx + 70x = 75 + 0 20w + -21wx + 70x = 75 Add '-70x' to each side of the equation. 20w + -21wx + 70x + -70x = 75 + -70x Combine like terms: 70x + -70x = 0 20w + -21wx + 0 = 75 + -70x 20w + -21wx = 75 + -70x Reorder the terms: -75 + 20w + -21wx + 70x = 75 + -70x + -75 + 70x Reorder the terms: -75 + 20w + -21wx + 70x = 75 + -75 + -70x + 70x Combine like terms: 75 + -75 = 0 -75 + 20w + -21wx + 70x = 0 + -70x + 70x -75 + 20w + -21wx + 70x = -70x + 70x Combine like terms: -70x + 70x = 0 -75 + 20w + -21wx + 70x = 0 The solution to this equation could not be determined.
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