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Simplifying 3x + 5(x + 4) = 500 Reorder the terms: 3x + 5(4 + x) = 500 3x + (4 * 5 + x * 5) = 500 3x + (20 + 5x) = 500 Reorder the terms: 20 + 3x + 5x = 500 Combine like terms: 3x + 5x = 8x 20 + 8x = 500 Solving 20 + 8x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8x = 500 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 500 + -20 8x = 500 + -20 Combine like terms: 500 + -20 = 480 8x = 480 Divide each side by '8'. x = 60 Simplifying x = 60
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