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Simplifying 2x + 7(-1x + 1) = 2 Reorder the terms: 2x + 7(1 + -1x) = 2 2x + (1 * 7 + -1x * 7) = 2 2x + (7 + -7x) = 2 Reorder the terms: 7 + 2x + -7x = 2 Combine like terms: 2x + -7x = -5x 7 + -5x = 2 Solving 7 + -5x = 2 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 = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 2 + -7 -5x = 2 + -7 Combine like terms: 2 + -7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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