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Simplifying 7(10 + -3x) = 5(15 + -4w) (10 * 7 + -3x * 7) = 5(15 + -4w) (70 + -21x) = 5(15 + -4w) 70 + -21x = (15 * 5 + -4w * 5) 70 + -21x = (75 + -20w) Solving 70 + -21x = 75 + -20w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -21x = 75 + -70 + -20w Combine like terms: 70 + -70 = 0 0 + -21x = 75 + -70 + -20w -21x = 75 + -70 + -20w Combine like terms: 75 + -70 = 5 -21x = 5 + -20w Divide each side by '-21'. x = -0.2380952381 + 0.9523809524w Simplifying x = -0.2380952381 + 0.9523809524w
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