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Simplifying 8x + 7(2x + -5) = -6 + -7x Reorder the terms: 8x + 7(-5 + 2x) = -6 + -7x 8x + (-5 * 7 + 2x * 7) = -6 + -7x 8x + (-35 + 14x) = -6 + -7x Reorder the terms: -35 + 8x + 14x = -6 + -7x Combine like terms: 8x + 14x = 22x -35 + 22x = -6 + -7x Solving -35 + 22x = -6 + -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. -35 + 22x + 7x = -6 + -7x + 7x Combine like terms: 22x + 7x = 29x -35 + 29x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 29x = -6 + 0 -35 + 29x = -6 Add '35' to each side of the equation. -35 + 35 + 29x = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 29x = -6 + 35 29x = -6 + 35 Combine like terms: -6 + 35 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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