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Simplifying 41 + -2x = 6x + 8x + -9 Reorder the terms: 41 + -2x = -9 + 6x + 8x Combine like terms: 6x + 8x = 14x 41 + -2x = -9 + 14x Solving 41 + -2x = -9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 41 + -2x + -14x = -9 + 14x + -14x Combine like terms: -2x + -14x = -16x 41 + -16x = -9 + 14x + -14x Combine like terms: 14x + -14x = 0 41 + -16x = -9 + 0 41 + -16x = -9 Add '-41' to each side of the equation. 41 + -41 + -16x = -9 + -41 Combine like terms: 41 + -41 = 0 0 + -16x = -9 + -41 -16x = -9 + -41 Combine like terms: -9 + -41 = -50 -16x = -50 Divide each side by '-16'. x = 3.125 Simplifying x = 3.125
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