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Simplifying 10[37 + -1(x + x + 4)] + 5x + 25(x + 4) = 550 Reorder the terms: 10[37 + -1(4 + x + x)] + 5x + 25(x + 4) = 550 Combine like terms: x + x = 2x 10[37 + -1(4 + 2x)] + 5x + 25(x + 4) = 550 10[37 + (4 * -1 + 2x * -1)] + 5x + 25(x + 4) = 550 10[37 + (-4 + -2x)] + 5x + 25(x + 4) = 550 Combine like terms: 37 + -4 = 33 10[33 + -2x] + 5x + 25(x + 4) = 550 [33 * 10 + -2x * 10] + 5x + 25(x + 4) = 550 [330 + -20x] + 5x + 25(x + 4) = 550 Reorder the terms: 330 + -20x + 5x + 25(4 + x) = 550 330 + -20x + 5x + (4 * 25 + x * 25) = 550 330 + -20x + 5x + (100 + 25x) = 550 Reorder the terms: 330 + 100 + -20x + 5x + 25x = 550 Combine like terms: 330 + 100 = 430 430 + -20x + 5x + 25x = 550 Combine like terms: -20x + 5x = -15x 430 + -15x + 25x = 550 Combine like terms: -15x + 25x = 10x 430 + 10x = 550 Solving 430 + 10x = 550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-430' to each side of the equation. 430 + -430 + 10x = 550 + -430 Combine like terms: 430 + -430 = 0 0 + 10x = 550 + -430 10x = 550 + -430 Combine like terms: 550 + -430 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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