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Simplifying 7x + -5x + 10 = x + 12 Reorder the terms: 10 + 7x + -5x = x + 12 Combine like terms: 7x + -5x = 2x 10 + 2x = x + 12 Reorder the terms: 10 + 2x = 12 + x Solving 10 + 2x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 2x + -1x = 12 + x + -1x Combine like terms: 2x + -1x = 1x 10 + 1x = 12 + x + -1x Combine like terms: x + -1x = 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 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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