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Simplifying -25(x + -46) + -25(x + -46) = 0 Reorder the terms: -25(-46 + x) + -25(x + -46) = 0 (-46 * -25 + x * -25) + -25(x + -46) = 0 (1150 + -25x) + -25(x + -46) = 0 Reorder the terms: 1150 + -25x + -25(-46 + x) = 0 1150 + -25x + (-46 * -25 + x * -25) = 0 1150 + -25x + (1150 + -25x) = 0 Reorder the terms: 1150 + 1150 + -25x + -25x = 0 Combine like terms: 1150 + 1150 = 2300 2300 + -25x + -25x = 0 Combine like terms: -25x + -25x = -50x 2300 + -50x = 0 Solving 2300 + -50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2300' to each side of the equation. 2300 + -2300 + -50x = 0 + -2300 Combine like terms: 2300 + -2300 = 0 0 + -50x = 0 + -2300 -50x = 0 + -2300 Combine like terms: 0 + -2300 = -2300 -50x = -2300 Divide each side by '-50'. x = 46 Simplifying x = 46
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