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Simplifying 22x + 51 = 10x + 32 Reorder the terms: 51 + 22x = 10x + 32 Reorder the terms: 51 + 22x = 32 + 10x Solving 51 + 22x = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 51 + 22x + -10x = 32 + 10x + -10x Combine like terms: 22x + -10x = 12x 51 + 12x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 51 + 12x = 32 + 0 51 + 12x = 32 Add '-51' to each side of the equation. 51 + -51 + 12x = 32 + -51 Combine like terms: 51 + -51 = 0 0 + 12x = 32 + -51 12x = 32 + -51 Combine like terms: 32 + -51 = -19 12x = -19 Divide each side by '12'. x = -1.583333333 Simplifying x = -1.583333333
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