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Simplifying 2.5(5x + 2) = 3x + -23.5 Reorder the terms: 2.5(2 + 5x) = 3x + -23.5 (2 * 2.5 + 5x * 2.5) = 3x + -23.5 (5 + 12.5x) = 3x + -23.5 Reorder the terms: 5 + 12.5x = -23.5 + 3x Solving 5 + 12.5x = -23.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 12.5x + -3x = -23.5 + 3x + -3x Combine like terms: 12.5x + -3x = 9.5x 5 + 9.5x = -23.5 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 9.5x = -23.5 + 0 5 + 9.5x = -23.5 Add '-5' to each side of the equation. 5 + -5 + 9.5x = -23.5 + -5 Combine like terms: 5 + -5 = 0 0 + 9.5x = -23.5 + -5 9.5x = -23.5 + -5 Combine like terms: -23.5 + -5 = -28.5 9.5x = -28.5 Divide each side by '9.5'. x = -3 Simplifying x = -3
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