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Simplifying 0.5(3x + -5) + 6x = 35 Reorder the terms: 0.5(-5 + 3x) + 6x = 35 (-5 * 0.5 + 3x * 0.5) + 6x = 35 (-2.5 + 1.5x) + 6x = 35 Combine like terms: 1.5x + 6x = 7.5x -2.5 + 7.5x = 35 Solving -2.5 + 7.5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 7.5x = 35 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 7.5x = 35 + 2.5 7.5x = 35 + 2.5 Combine like terms: 35 + 2.5 = 37.5 7.5x = 37.5 Divide each side by '7.5'. x = 5 Simplifying x = 5
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