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Simplifying 5x + 3(x + 4) = 38 Reorder the terms: 5x + 3(4 + x) = 38 5x + (4 * 3 + x * 3) = 38 5x + (12 + 3x) = 38 Reorder the terms: 12 + 5x + 3x = 38 Combine like terms: 5x + 3x = 8x 12 + 8x = 38 Solving 12 + 8x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 38 + -12 8x = 38 + -12 Combine like terms: 38 + -12 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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