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Simplifying 15x + 25(x + -4) = 460 Reorder the terms: 15x + 25(-4 + x) = 460 15x + (-4 * 25 + x * 25) = 460 15x + (-100 + 25x) = 460 Reorder the terms: -100 + 15x + 25x = 460 Combine like terms: 15x + 25x = 40x -100 + 40x = 460 Solving -100 + 40x = 460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 40x = 460 + 100 Combine like terms: -100 + 100 = 0 0 + 40x = 460 + 100 40x = 460 + 100 Combine like terms: 460 + 100 = 560 40x = 560 Divide each side by '40'. x = 14 Simplifying x = 14
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