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Simplifying 0.5x + 3.7 = 0.8x + 2.5 Reorder the terms: 3.7 + 0.5x = 0.8x + 2.5 Reorder the terms: 3.7 + 0.5x = 2.5 + 0.8x Solving 3.7 + 0.5x = 2.5 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 3.7 + 0.5x + -0.8x = 2.5 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 3.7 + -0.3x = 2.5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3.7 + -0.3x = 2.5 + 0.0 3.7 + -0.3x = 2.5 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -0.3x = 2.5 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -0.3x = 2.5 + -3.7 -0.3x = 2.5 + -3.7 Combine like terms: 2.5 + -3.7 = -1.2 -0.3x = -1.2 Divide each side by '-0.3'. x = 4 Simplifying x = 4
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