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Simplifying 7x + 4(10 + 4x) = 500 7x + (10 * 4 + 4x * 4) = 500 7x + (40 + 16x) = 500 Reorder the terms: 40 + 7x + 16x = 500 Combine like terms: 7x + 16x = 23x 40 + 23x = 500 Solving 40 + 23x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 23x = 500 + -40 Combine like terms: 40 + -40 = 0 0 + 23x = 500 + -40 23x = 500 + -40 Combine like terms: 500 + -40 = 460 23x = 460 Divide each side by '23'. x = 20 Simplifying x = 20
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