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Simplifying 10x + 5 = 7x + 2 Reorder the terms: 5 + 10x = 7x + 2 Reorder the terms: 5 + 10x = 2 + 7x Solving 5 + 10x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 10x + -7x = 2 + 7x + -7x Combine like terms: 10x + -7x = 3x 5 + 3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 3x = 2 + 0 5 + 3x = 2 Add '-5' to each side of the equation. 5 + -5 + 3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 2 + -5 3x = 2 + -5 Combine like terms: 2 + -5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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