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Simplifying 7x + 2 = -2 + 3x + 12 Reorder the terms: 2 + 7x = -2 + 3x + 12 Reorder the terms: 2 + 7x = -2 + 12 + 3x Combine like terms: -2 + 12 = 10 2 + 7x = 10 + 3x Solving 2 + 7x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x 2 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 4x = 10 + 0 2 + 4x = 10 Add '-2' to each side of the equation. 2 + -2 + 4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 10 + -2 4x = 10 + -2 Combine like terms: 10 + -2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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