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Simplifying 15 + 30(x + -4) = 420 Reorder the terms: 15 + 30(-4 + x) = 420 15 + (-4 * 30 + x * 30) = 420 15 + (-120 + 30x) = 420 Combine like terms: 15 + -120 = -105 -105 + 30x = 420 Solving -105 + 30x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 30x = 420 + 105 Combine like terms: -105 + 105 = 0 0 + 30x = 420 + 105 30x = 420 + 105 Combine like terms: 420 + 105 = 525 30x = 525 Divide each side by '30'. x = 17.5 Simplifying x = 17.5
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