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Simplifying 5 + -5x = -7(7 + -7x) 5 + -5x = (7 * -7 + -7x * -7) 5 + -5x = (-49 + 49x) Solving 5 + -5x = -49 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 5 + -5x + -49x = -49 + 49x + -49x Combine like terms: -5x + -49x = -54x 5 + -54x = -49 + 49x + -49x Combine like terms: 49x + -49x = 0 5 + -54x = -49 + 0 5 + -54x = -49 Add '-5' to each side of the equation. 5 + -5 + -54x = -49 + -5 Combine like terms: 5 + -5 = 0 0 + -54x = -49 + -5 -54x = -49 + -5 Combine like terms: -49 + -5 = -54 -54x = -54 Divide each side by '-54'. x = 1 Simplifying x = 1
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