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Simplifying -7(x + 7) = 7(2x + -7) + x Reorder the terms: -7(7 + x) = 7(2x + -7) + x (7 * -7 + x * -7) = 7(2x + -7) + x (-49 + -7x) = 7(2x + -7) + x Reorder the terms: -49 + -7x = 7(-7 + 2x) + x -49 + -7x = (-7 * 7 + 2x * 7) + x -49 + -7x = (-49 + 14x) + x Combine like terms: 14x + x = 15x -49 + -7x = -49 + 15x Add '49' to each side of the equation. -49 + 49 + -7x = -49 + 49 + 15x Combine like terms: -49 + 49 = 0 0 + -7x = -49 + 49 + 15x -7x = -49 + 49 + 15x Combine like terms: -49 + 49 = 0 -7x = 0 + 15x -7x = 15x Solving -7x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7x + -15x = 15x + -15x Combine like terms: -7x + -15x = -22x -22x = 15x + -15x Combine like terms: 15x + -15x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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