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Simplifying 34(21 + -3.5x) = 15(3x + -7) + 48.2 (21 * 34 + -3.5x * 34) = 15(3x + -7) + 48.2 (714 + -119x) = 15(3x + -7) + 48.2 Reorder the terms: 714 + -119x = 15(-7 + 3x) + 48.2 714 + -119x = (-7 * 15 + 3x * 15) + 48.2 714 + -119x = (-105 + 45x) + 48.2 Reorder the terms: 714 + -119x = -105 + 48.2 + 45x Combine like terms: -105 + 48.2 = -56.8 714 + -119x = -56.8 + 45x Solving 714 + -119x = -56.8 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 714 + -119x + -45x = -56.8 + 45x + -45x Combine like terms: -119x + -45x = -164x 714 + -164x = -56.8 + 45x + -45x Combine like terms: 45x + -45x = 0 714 + -164x = -56.8 + 0 714 + -164x = -56.8 Add '-714' to each side of the equation. 714 + -714 + -164x = -56.8 + -714 Combine like terms: 714 + -714 = 0 0 + -164x = -56.8 + -714 -164x = -56.8 + -714 Combine like terms: -56.8 + -714 = -770.8 -164x = -770.8 Divide each side by '-164'. x = 4.7 Simplifying x = 4.7
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