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Simplifying 0.5(7x + -15) = 2x Reorder the terms: 0.5(-15 + 7x) = 2x (-15 * 0.5 + 7x * 0.5) = 2x (-7.5 + 3.5x) = 2x Solving -7.5 + 3.5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7.5 + 3.5x + -2x = 2x + -2x Combine like terms: 3.5x + -2x = 1.5x -7.5 + 1.5x = 2x + -2x Combine like terms: 2x + -2x = 0 -7.5 + 1.5x = 0 Add '7.5' to each side of the equation. -7.5 + 7.5 + 1.5x = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1.5x = 0 + 7.5 1.5x = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 1.5x = 7.5 Divide each side by '1.5'. x = 5 Simplifying x = 5
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