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Simplifying 7.5(x + -2) = 0.5x + 25 Reorder the terms: 7.5(-2 + x) = 0.5x + 25 (-2 * 7.5 + x * 7.5) = 0.5x + 25 (-15 + 7.5x) = 0.5x + 25 Reorder the terms: -15 + 7.5x = 25 + 0.5x Solving -15 + 7.5x = 25 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -15 + 7.5x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 7.5x + -0.5x = 7x -15 + 7x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -15 + 7x = 25 + 0.0 -15 + 7x = 25 Add '15' to each side of the equation. -15 + 15 + 7x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 25 + 15 7x = 25 + 15 Combine like terms: 25 + 15 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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