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Simplifying 10x + 5(x + -52) = 450 Reorder the terms: 10x + 5(-52 + x) = 450 10x + (-52 * 5 + x * 5) = 450 10x + (-260 + 5x) = 450 Reorder the terms: -260 + 10x + 5x = 450 Combine like terms: 10x + 5x = 15x -260 + 15x = 450 Solving -260 + 15x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '260' to each side of the equation. -260 + 260 + 15x = 450 + 260 Combine like terms: -260 + 260 = 0 0 + 15x = 450 + 260 15x = 450 + 260 Combine like terms: 450 + 260 = 710 15x = 710 Divide each side by '15'. x = 47.33333333 Simplifying x = 47.33333333
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