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Simplifying 34(21 + -6.5x) = 16(6x + -8) + 49.5 (21 * 34 + -6.5x * 34) = 16(6x + -8) + 49.5 (714 + -221x) = 16(6x + -8) + 49.5 Reorder the terms: 714 + -221x = 16(-8 + 6x) + 49.5 714 + -221x = (-8 * 16 + 6x * 16) + 49.5 714 + -221x = (-128 + 96x) + 49.5 Reorder the terms: 714 + -221x = -128 + 49.5 + 96x Combine like terms: -128 + 49.5 = -78.5 714 + -221x = -78.5 + 96x Solving 714 + -221x = -78.5 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 714 + -221x + -96x = -78.5 + 96x + -96x Combine like terms: -221x + -96x = -317x 714 + -317x = -78.5 + 96x + -96x Combine like terms: 96x + -96x = 0 714 + -317x = -78.5 + 0 714 + -317x = -78.5 Add '-714' to each side of the equation. 714 + -714 + -317x = -78.5 + -714 Combine like terms: 714 + -714 = 0 0 + -317x = -78.5 + -714 -317x = -78.5 + -714 Combine like terms: -78.5 + -714 = -792.5 -317x = -792.5 Divide each side by '-317'. x = 2.5 Simplifying x = 2.5
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