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Simplifying 15x + 24(x + -4) = 177 Reorder the terms: 15x + 24(-4 + x) = 177 15x + (-4 * 24 + x * 24) = 177 15x + (-96 + 24x) = 177 Reorder the terms: -96 + 15x + 24x = 177 Combine like terms: 15x + 24x = 39x -96 + 39x = 177 Solving -96 + 39x = 177 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 + 39x = 177 + 96 Combine like terms: -96 + 96 = 0 0 + 39x = 177 + 96 39x = 177 + 96 Combine like terms: 177 + 96 = 273 39x = 273 Divide each side by '39'. x = 7 Simplifying x = 7
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