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Simplifying 7(x + 7) + 7x = 7(x + -5) Reorder the terms: 7(7 + x) + 7x = 7(x + -5) (7 * 7 + x * 7) + 7x = 7(x + -5) (49 + 7x) + 7x = 7(x + -5) Combine like terms: 7x + 7x = 14x 49 + 14x = 7(x + -5) Reorder the terms: 49 + 14x = 7(-5 + x) 49 + 14x = (-5 * 7 + x * 7) 49 + 14x = (-35 + 7x) Solving 49 + 14x = -35 + 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 + 14x + -7x = -35 + 7x + -7x Combine like terms: 14x + -7x = 7x 49 + 7x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + 7x = -35 + 0 49 + 7x = -35 Add '-49' to each side of the equation. 49 + -49 + 7x = -35 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = -35 + -49 7x = -35 + -49 Combine like terms: -35 + -49 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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