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Simplifying -25(x + -78) = x + -1(-54) Reorder the terms: -25(-78 + x) = x + -1(-54) (-78 * -25 + x * -25) = x + -1(-54) (1950 + -25x) = x + -1(-54) Multiply -1 * -54 1950 + -25x = x + 54 Reorder the terms: 1950 + -25x = 54 + x Solving 1950 + -25x = 54 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1950 + -25x + -1x = 54 + x + -1x Combine like terms: -25x + -1x = -26x 1950 + -26x = 54 + x + -1x Combine like terms: x + -1x = 0 1950 + -26x = 54 + 0 1950 + -26x = 54 Add '-1950' to each side of the equation. 1950 + -1950 + -26x = 54 + -1950 Combine like terms: 1950 + -1950 = 0 0 + -26x = 54 + -1950 -26x = 54 + -1950 Combine like terms: 54 + -1950 = -1896 -26x = -1896 Divide each side by '-26'. x = 72.92307692 Simplifying x = 72.92307692
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