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Simplifying 7(x + 1) + -2x = 12 Reorder the terms: 7(1 + x) + -2x = 12 (1 * 7 + x * 7) + -2x = 12 (7 + 7x) + -2x = 12 Combine like terms: 7x + -2x = 5x 7 + 5x = 12 Solving 7 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 12 + -7 5x = 12 + -7 Combine like terms: 12 + -7 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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