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Simplifying 6x + 12 = 5x + 10 Reorder the terms: 12 + 6x = 5x + 10 Reorder the terms: 12 + 6x = 10 + 5x Solving 12 + 6x = 10 + 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. 12 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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