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Simplifying 34(-3.5x) = 12(3x + -8) + 653.5 Remove parenthesis around (-3.5x) 34 * -3.5x = 12(3x + -8) + 653.5 Multiply 34 * -3.5 -119x = 12(3x + -8) + 653.5 Reorder the terms: -119x = 12(-8 + 3x) + 653.5 -119x = (-8 * 12 + 3x * 12) + 653.5 -119x = (-96 + 36x) + 653.5 Reorder the terms: -119x = -96 + 653.5 + 36x Combine like terms: -96 + 653.5 = 557.5 -119x = 557.5 + 36x Solving -119x = 557.5 + 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. -119x + -36x = 557.5 + 36x + -36x Combine like terms: -119x + -36x = -155x -155x = 557.5 + 36x + -36x Combine like terms: 36x + -36x = 0 -155x = 557.5 + 0 -155x = 557.5 Divide each side by '-155'. x = -3.596774194 Simplifying x = -3.596774194
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