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Simplifying -7(5x + 7) + -7x = 23 + -6x Reorder the terms: -7(7 + 5x) + -7x = 23 + -6x (7 * -7 + 5x * -7) + -7x = 23 + -6x (-49 + -35x) + -7x = 23 + -6x Combine like terms: -35x + -7x = -42x -49 + -42x = 23 + -6x Solving -49 + -42x = 23 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -49 + -42x + 6x = 23 + -6x + 6x Combine like terms: -42x + 6x = -36x -49 + -36x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 -49 + -36x = 23 + 0 -49 + -36x = 23 Add '49' to each side of the equation. -49 + 49 + -36x = 23 + 49 Combine like terms: -49 + 49 = 0 0 + -36x = 23 + 49 -36x = 23 + 49 Combine like terms: 23 + 49 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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