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Simplifying 10x + 26(x + -3) = 462 Reorder the terms: 10x + 26(-3 + x) = 462 10x + (-3 * 26 + x * 26) = 462 10x + (-78 + 26x) = 462 Reorder the terms: -78 + 10x + 26x = 462 Combine like terms: 10x + 26x = 36x -78 + 36x = 462 Solving -78 + 36x = 462 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 36x = 462 + 78 Combine like terms: -78 + 78 = 0 0 + 36x = 462 + 78 36x = 462 + 78 Combine like terms: 462 + 78 = 540 36x = 540 Divide each side by '36'. x = 15 Simplifying x = 15
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