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Simplifying 2(-39x + -37) = -40(-48 + -4x) Reorder the terms: 2(-37 + -39x) = -40(-48 + -4x) (-37 * 2 + -39x * 2) = -40(-48 + -4x) (-74 + -78x) = -40(-48 + -4x) -74 + -78x = (-48 * -40 + -4x * -40) -74 + -78x = (1920 + 160x) Solving -74 + -78x = 1920 + 160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160x' to each side of the equation. -74 + -78x + -160x = 1920 + 160x + -160x Combine like terms: -78x + -160x = -238x -74 + -238x = 1920 + 160x + -160x Combine like terms: 160x + -160x = 0 -74 + -238x = 1920 + 0 -74 + -238x = 1920 Add '74' to each side of the equation. -74 + 74 + -238x = 1920 + 74 Combine like terms: -74 + 74 = 0 0 + -238x = 1920 + 74 -238x = 1920 + 74 Combine like terms: 1920 + 74 = 1994 -238x = 1994 Divide each side by '-238'. x = -8.378151261 Simplifying x = -8.378151261
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