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Simplifying x + 10x + 25(45 + -2x) = 384 x + 10x + (45 * 25 + -2x * 25) = 384 x + 10x + (1125 + -50x) = 384 Reorder the terms: 1125 + x + 10x + -50x = 384 Combine like terms: x + 10x = 11x 1125 + 11x + -50x = 384 Combine like terms: 11x + -50x = -39x 1125 + -39x = 384 Solving 1125 + -39x = 384 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1125' to each side of the equation. 1125 + -1125 + -39x = 384 + -1125 Combine like terms: 1125 + -1125 = 0 0 + -39x = 384 + -1125 -39x = 384 + -1125 Combine like terms: 384 + -1125 = -741 -39x = -741 Divide each side by '-39'. x = 19 Simplifying x = 19
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