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Simplifying 78(x + -25) = -88x + 42 Reorder the terms: 78(-25 + x) = -88x + 42 (-25 * 78 + x * 78) = -88x + 42 (-1950 + 78x) = -88x + 42 Reorder the terms: -1950 + 78x = 42 + -88x Solving -1950 + 78x = 42 + -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -1950 + 78x + 88x = 42 + -88x + 88x Combine like terms: 78x + 88x = 166x -1950 + 166x = 42 + -88x + 88x Combine like terms: -88x + 88x = 0 -1950 + 166x = 42 + 0 -1950 + 166x = 42 Add '1950' to each side of the equation. -1950 + 1950 + 166x = 42 + 1950 Combine like terms: -1950 + 1950 = 0 0 + 166x = 42 + 1950 166x = 42 + 1950 Combine like terms: 42 + 1950 = 1992 166x = 1992 Divide each side by '166'. x = 12 Simplifying x = 12
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