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Simplifying 7(1 + -1x) + x = 2 + -1x (1 * 7 + -1x * 7) + x = 2 + -1x (7 + -7x) + x = 2 + -1x Combine like terms: -7x + x = -6x 7 + -6x = 2 + -1x Solving 7 + -6x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -6x + x = 2 + -1x + x Combine like terms: -6x + x = -5x 7 + -5x = 2 + -1x + x Combine like terms: -1x + x = 0 7 + -5x = 2 + 0 7 + -5x = 2 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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