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Simplifying 10x + 5(3x) + 25(x + 5) = 1125 Remove parenthesis around (3x) 10x + 5 * 3x + 25(x + 5) = 1125 Multiply 5 * 3 10x + 15x + 25(x + 5) = 1125 Reorder the terms: 10x + 15x + 25(5 + x) = 1125 10x + 15x + (5 * 25 + x * 25) = 1125 10x + 15x + (125 + 25x) = 1125 Reorder the terms: 125 + 10x + 15x + 25x = 1125 Combine like terms: 10x + 15x = 25x 125 + 25x + 25x = 1125 Combine like terms: 25x + 25x = 50x 125 + 50x = 1125 Solving 125 + 50x = 1125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 50x = 1125 + -125 Combine like terms: 125 + -125 = 0 0 + 50x = 1125 + -125 50x = 1125 + -125 Combine like terms: 1125 + -125 = 1000 50x = 1000 Divide each side by '50'. x = 20 Simplifying x = 20
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