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Simplifying 10[37 + -1(x + x + 7)] + 5x + 25(x + 4) = 550 Reorder the terms: 10[37 + -1(7 + x + x)] + 5x + 25(x + 4) = 550 Combine like terms: x + x = 2x 10[37 + -1(7 + 2x)] + 5x + 25(x + 4) = 550 10[37 + (7 * -1 + 2x * -1)] + 5x + 25(x + 4) = 550 10[37 + (-7 + -2x)] + 5x + 25(x + 4) = 550 Combine like terms: 37 + -7 = 30 10[30 + -2x] + 5x + 25(x + 4) = 550 [30 * 10 + -2x * 10] + 5x + 25(x + 4) = 550 [300 + -20x] + 5x + 25(x + 4) = 550 Reorder the terms: 300 + -20x + 5x + 25(4 + x) = 550 300 + -20x + 5x + (4 * 25 + x * 25) = 550 300 + -20x + 5x + (100 + 25x) = 550 Reorder the terms: 300 + 100 + -20x + 5x + 25x = 550 Combine like terms: 300 + 100 = 400 400 + -20x + 5x + 25x = 550 Combine like terms: -20x + 5x = -15x 400 + -15x + 25x = 550 Combine like terms: -15x + 25x = 10x 400 + 10x = 550 Solving 400 + 10x = 550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 10x = 550 + -400 Combine like terms: 400 + -400 = 0 0 + 10x = 550 + -400 10x = 550 + -400 Combine like terms: 550 + -400 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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