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Simplifying 3.5(5x + -10) = 5x + 12 Reorder the terms: 3.5(-10 + 5x) = 5x + 12 (-10 * 3.5 + 5x * 3.5) = 5x + 12 (-35 + 17.5x) = 5x + 12 Reorder the terms: -35 + 17.5x = 12 + 5x Solving -35 + 17.5x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 17.5x + -5x = 12 + 5x + -5x Combine like terms: 17.5x + -5x = 12.5x -35 + 12.5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 12.5x = 12 + 0 -35 + 12.5x = 12 Add '35' to each side of the equation. -35 + 35 + 12.5x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 12.5x = 12 + 35 12.5x = 12 + 35 Combine like terms: 12 + 35 = 47 12.5x = 47 Divide each side by '12.5'. x = 3.76 Simplifying x = 3.76
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