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Simplifying 5x + 7(x + -7) = 5(x + -7) Reorder the terms: 5x + 7(-7 + x) = 5(x + -7) 5x + (-7 * 7 + x * 7) = 5(x + -7) 5x + (-49 + 7x) = 5(x + -7) Reorder the terms: -49 + 5x + 7x = 5(x + -7) Combine like terms: 5x + 7x = 12x -49 + 12x = 5(x + -7) Reorder the terms: -49 + 12x = 5(-7 + x) -49 + 12x = (-7 * 5 + x * 5) -49 + 12x = (-35 + 5x) Solving -49 + 12x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -49 + 12x + -5x = -35 + 5x + -5x Combine like terms: 12x + -5x = 7x -49 + 7x = -35 + 5x + -5x Combine like terms: 5x + -5x = 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 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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