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Simplifying 5(x + -4) + 27x = 460 Reorder the terms: 5(-4 + x) + 27x = 460 (-4 * 5 + x * 5) + 27x = 460 (-20 + 5x) + 27x = 460 Combine like terms: 5x + 27x = 32x -20 + 32x = 460 Solving -20 + 32x = 460 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 + 32x = 460 + 20 Combine like terms: -20 + 20 = 0 0 + 32x = 460 + 20 32x = 460 + 20 Combine like terms: 460 + 20 = 480 32x = 480 Divide each side by '32'. x = 15 Simplifying x = 15
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