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Simplifying 8 + 7(x + -6) = 9 + -7(x + -6) Reorder the terms: 8 + 7(-6 + x) = 9 + -7(x + -6) 8 + (-6 * 7 + x * 7) = 9 + -7(x + -6) 8 + (-42 + 7x) = 9 + -7(x + -6) Combine like terms: 8 + -42 = -34 -34 + 7x = 9 + -7(x + -6) Reorder the terms: -34 + 7x = 9 + -7(-6 + x) -34 + 7x = 9 + (-6 * -7 + x * -7) -34 + 7x = 9 + (42 + -7x) Combine like terms: 9 + 42 = 51 -34 + 7x = 51 + -7x Solving -34 + 7x = 51 + -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. -34 + 7x + 7x = 51 + -7x + 7x Combine like terms: 7x + 7x = 14x -34 + 14x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + 14x = 51 + 0 -34 + 14x = 51 Add '34' to each side of the equation. -34 + 34 + 14x = 51 + 34 Combine like terms: -34 + 34 = 0 0 + 14x = 51 + 34 14x = 51 + 34 Combine like terms: 51 + 34 = 85 14x = 85 Divide each side by '14'. x = 6.071428571 Simplifying x = 6.071428571
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