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Simplifying 6x + -10 = 5x + 12 Reorder the terms: -10 + 6x = 5x + 12 Reorder the terms: -10 + 6x = 12 + 5x Solving -10 + 6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = 12 + 0 -10 + 1x = 12 Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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