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Simplifying (X + -12) * 5 = 7.5 + 2.3X Reorder the terms: (-12 + X) * 5 = 7.5 + 2.3X Reorder the terms for easier multiplication: 5(-12 + X) = 7.5 + 2.3X (-12 * 5 + X * 5) = 7.5 + 2.3X (-60 + 5X) = 7.5 + 2.3X Solving -60 + 5X = 7.5 + 2.3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2.3X' to each side of the equation. -60 + 5X + -2.3X = 7.5 + 2.3X + -2.3X Combine like terms: 5X + -2.3X = 2.7X -60 + 2.7X = 7.5 + 2.3X + -2.3X Combine like terms: 2.3X + -2.3X = 0.0 -60 + 2.7X = 7.5 + 0.0 -60 + 2.7X = 7.5 Add '60' to each side of the equation. -60 + 60 + 2.7X = 7.5 + 60 Combine like terms: -60 + 60 = 0 0 + 2.7X = 7.5 + 60 2.7X = 7.5 + 60 Combine like terms: 7.5 + 60 = 67.5 2.7X = 67.5 Divide each side by '2.7'. X = 25 Simplifying X = 25
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