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Simplifying 25.6 + 4x = 3.8(x + 8) Reorder the terms: 25.6 + 4x = 3.8(8 + x) 25.6 + 4x = (8 * 3.8 + x * 3.8) 25.6 + 4x = (30.4 + 3.8x) Solving 25.6 + 4x = 30.4 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 25.6 + 4x + -3.8x = 30.4 + 3.8x + -3.8x Combine like terms: 4x + -3.8x = 0.2x 25.6 + 0.2x = 30.4 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 25.6 + 0.2x = 30.4 + 0.0 25.6 + 0.2x = 30.4 Add '-25.6' to each side of the equation. 25.6 + -25.6 + 0.2x = 30.4 + -25.6 Combine like terms: 25.6 + -25.6 = 0.0 0.0 + 0.2x = 30.4 + -25.6 0.2x = 30.4 + -25.6 Combine like terms: 30.4 + -25.6 = 4.8 0.2x = 4.8 Divide each side by '0.2'. x = 24 Simplifying x = 24
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