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Simplifying 15x + 21(x + -4) = 420 Reorder the terms: 15x + 21(-4 + x) = 420 15x + (-4 * 21 + x * 21) = 420 15x + (-84 + 21x) = 420 Reorder the terms: -84 + 15x + 21x = 420 Combine like terms: 15x + 21x = 36x -84 + 36x = 420 Solving -84 + 36x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 36x = 420 + 84 Combine like terms: -84 + 84 = 0 0 + 36x = 420 + 84 36x = 420 + 84 Combine like terms: 420 + 84 = 504 36x = 504 Divide each side by '36'. x = 14 Simplifying x = 14
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