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Simplifying 7(-7 + 7x) = 7 + -7x (-7 * 7 + 7x * 7) = 7 + -7x (-49 + 49x) = 7 + -7x Solving -49 + 49x = 7 + -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. -49 + 49x + 7x = 7 + -7x + 7x Combine like terms: 49x + 7x = 56x -49 + 56x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + 56x = 7 + 0 -49 + 56x = 7 Add '49' to each side of the equation. -49 + 49 + 56x = 7 + 49 Combine like terms: -49 + 49 = 0 0 + 56x = 7 + 49 56x = 7 + 49 Combine like terms: 7 + 49 = 56 56x = 56 Divide each side by '56'. x = 1 Simplifying x = 1
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