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Simplifying 34(5 + -3.5x) = 12(3x + -8) (5 * 34 + -3.5x * 34) = 12(3x + -8) (170 + -119x) = 12(3x + -8) Reorder the terms: 170 + -119x = 12(-8 + 3x) 170 + -119x = (-8 * 12 + 3x * 12) 170 + -119x = (-96 + 36x) Solving 170 + -119x = -96 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 170 + -119x + -36x = -96 + 36x + -36x Combine like terms: -119x + -36x = -155x 170 + -155x = -96 + 36x + -36x Combine like terms: 36x + -36x = 0 170 + -155x = -96 + 0 170 + -155x = -96 Add '-170' to each side of the equation. 170 + -170 + -155x = -96 + -170 Combine like terms: 170 + -170 = 0 0 + -155x = -96 + -170 -155x = -96 + -170 Combine like terms: -96 + -170 = -266 -155x = -266 Divide each side by '-155'. x = 1.716129032 Simplifying x = 1.716129032
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