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Simplifying 7.5(3x + -2) = 12.5(x + 2) Reorder the terms: 7.5(-2 + 3x) = 12.5(x + 2) (-2 * 7.5 + 3x * 7.5) = 12.5(x + 2) (-15 + 22.5x) = 12.5(x + 2) Reorder the terms: -15 + 22.5x = 12.5(2 + x) -15 + 22.5x = (2 * 12.5 + x * 12.5) -15 + 22.5x = (25 + 12.5x) Solving -15 + 22.5x = 25 + 12.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5x' to each side of the equation. -15 + 22.5x + -12.5x = 25 + 12.5x + -12.5x Combine like terms: 22.5x + -12.5x = 10x -15 + 10x = 25 + 12.5x + -12.5x Combine like terms: 12.5x + -12.5x = 0.0 -15 + 10x = 25 + 0.0 -15 + 10x = 25 Add '15' to each side of the equation. -15 + 15 + 10x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 25 + 15 10x = 25 + 15 Combine like terms: 25 + 15 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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