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Simplifying 36x + 41 + -51 = 10 + 16x Reorder the terms: 41 + -51 + 36x = 10 + 16x Combine like terms: 41 + -51 = -10 -10 + 36x = 10 + 16x Solving -10 + 36x = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 36x + -16x = 10 + 16x + -16x Combine like terms: 36x + -16x = 20x -10 + 20x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + 20x = 10 + 0 -10 + 20x = 10 Add '10' to each side of the equation. -10 + 10 + 20x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 20x = 10 + 10 20x = 10 + 10 Combine like terms: 10 + 10 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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