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Simplifying -74 + -9x = 7x + 27 Reorder the terms: -74 + -9x = 27 + 7x Solving -74 + -9x = 27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -74 + -9x + -7x = 27 + 7x + -7x Combine like terms: -9x + -7x = -16x -74 + -16x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 -74 + -16x = 27 + 0 -74 + -16x = 27 Add '74' to each side of the equation. -74 + 74 + -16x = 27 + 74 Combine like terms: -74 + 74 = 0 0 + -16x = 27 + 74 -16x = 27 + 74 Combine like terms: 27 + 74 = 101 -16x = 101 Divide each side by '-16'. x = -6.3125 Simplifying x = -6.3125
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