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Simplifying 10x + 24(x + -4) = 142 Reorder the terms: 10x + 24(-4 + x) = 142 10x + (-4 * 24 + x * 24) = 142 10x + (-96 + 24x) = 142 Reorder the terms: -96 + 10x + 24x = 142 Combine like terms: 10x + 24x = 34x -96 + 34x = 142 Solving -96 + 34x = 142 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 = 142 + 96 Combine like terms: -96 + 96 = 0 0 + 34x = 142 + 96 34x = 142 + 96 Combine like terms: 142 + 96 = 238 34x = 238 Divide each side by '34'. x = 7 Simplifying x = 7
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