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Simplifying -5(x + -8) + 2 = -7(2x + -6) Reorder the terms: -5(-8 + x) + 2 = -7(2x + -6) (-8 * -5 + x * -5) + 2 = -7(2x + -6) (40 + -5x) + 2 = -7(2x + -6) Reorder the terms: 40 + 2 + -5x = -7(2x + -6) Combine like terms: 40 + 2 = 42 42 + -5x = -7(2x + -6) Reorder the terms: 42 + -5x = -7(-6 + 2x) 42 + -5x = (-6 * -7 + 2x * -7) 42 + -5x = (42 + -14x) Add '-42' to each side of the equation. 42 + -42 + -5x = 42 + -42 + -14x Combine like terms: 42 + -42 = 0 0 + -5x = 42 + -42 + -14x -5x = 42 + -42 + -14x Combine like terms: 42 + -42 = 0 -5x = 0 + -14x -5x = -14x Solving -5x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -5x + 14x = -14x + 14x Combine like terms: -5x + 14x = 9x 9x = -14x + 14x Combine like terms: -14x + 14x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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