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Simplifying 10x + 24(x + -4) = 380 Reorder the terms: 10x + 24(-4 + x) = 380 10x + (-4 * 24 + x * 24) = 380 10x + (-96 + 24x) = 380 Reorder the terms: -96 + 10x + 24x = 380 Combine like terms: 10x + 24x = 34x -96 + 34x = 380 Solving -96 + 34x = 380 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 34x = 380 + 96 Combine like terms: -96 + 96 = 0 0 + 34x = 380 + 96 34x = 380 + 96 Combine like terms: 380 + 96 = 476 34x = 476 Divide each side by '34'. x = 14 Simplifying x = 14
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