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Simplifying 7 + 7(x + -1) = 7 + -7(x + -1) Reorder the terms: 7 + 7(-1 + x) = 7 + -7(x + -1) 7 + (-1 * 7 + x * 7) = 7 + -7(x + -1) 7 + (-7 + 7x) = 7 + -7(x + -1) Combine like terms: 7 + -7 = 0 0 + 7x = 7 + -7(x + -1) 7x = 7 + -7(x + -1) Reorder the terms: 7x = 7 + -7(-1 + x) 7x = 7 + (-1 * -7 + x * -7) 7x = 7 + (7 + -7x) Combine like terms: 7 + 7 = 14 7x = 14 + -7x Solving 7x = 14 + -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. 7x + 7x = 14 + -7x + 7x Combine like terms: 7x + 7x = 14x 14x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 14x = 14 + 0 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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