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Simplifying 38 + 4x = 45.5 + 2.5x Solving 38 + 4x = 45.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 38 + 4x + -2.5x = 45.5 + 2.5x + -2.5x Combine like terms: 4x + -2.5x = 1.5x 38 + 1.5x = 45.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 38 + 1.5x = 45.5 + 0.0 38 + 1.5x = 45.5 Add '-38' to each side of the equation. 38 + -38 + 1.5x = 45.5 + -38 Combine like terms: 38 + -38 = 0 0 + 1.5x = 45.5 + -38 1.5x = 45.5 + -38 Combine like terms: 45.5 + -38 = 7.5 1.5x = 7.5 Divide each side by '1.5'. x = 5 Simplifying x = 5
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