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Simplifying 3.8x + 3.2 = 2.3(x + 4) Reorder the terms: 3.2 + 3.8x = 2.3(x + 4) Reorder the terms: 3.2 + 3.8x = 2.3(4 + x) 3.2 + 3.8x = (4 * 2.3 + x * 2.3) 3.2 + 3.8x = (9.2 + 2.3x) Solving 3.2 + 3.8x = 9.2 + 2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.3x' to each side of the equation. 3.2 + 3.8x + -2.3x = 9.2 + 2.3x + -2.3x Combine like terms: 3.8x + -2.3x = 1.5x 3.2 + 1.5x = 9.2 + 2.3x + -2.3x Combine like terms: 2.3x + -2.3x = 0.0 3.2 + 1.5x = 9.2 + 0.0 3.2 + 1.5x = 9.2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1.5x = 9.2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1.5x = 9.2 + -3.2 1.5x = 9.2 + -3.2 Combine like terms: 9.2 + -3.2 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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