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Simplifying 37 + -5(x + 0.2) = 23 + 0.5 Reorder the terms: 37 + -5(0.2 + x) = 23 + 0.5 37 + (0.2 * -5 + x * -5) = 23 + 0.5 37 + (-1 + -5x) = 23 + 0.5 Combine like terms: 37 + -1 = 36 36 + -5x = 23 + 0.5 Combine like terms: 23 + 0.5 = 23.5 36 + -5x = 23.5 Solving 36 + -5x = 23.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -5x = 23.5 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 23.5 + -36 -5x = 23.5 + -36 Combine like terms: 23.5 + -36 = -12.5 -5x = -12.5 Divide each side by '-5'. x = 2.5 Simplifying x = 2.5
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