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Simplifying 1 + 7(x + -8) = 2 + -7(x + -6) Reorder the terms: 1 + 7(-8 + x) = 2 + -7(x + -6) 1 + (-8 * 7 + x * 7) = 2 + -7(x + -6) 1 + (-56 + 7x) = 2 + -7(x + -6) Combine like terms: 1 + -56 = -55 -55 + 7x = 2 + -7(x + -6) Reorder the terms: -55 + 7x = 2 + -7(-6 + x) -55 + 7x = 2 + (-6 * -7 + x * -7) -55 + 7x = 2 + (42 + -7x) Combine like terms: 2 + 42 = 44 -55 + 7x = 44 + -7x Solving -55 + 7x = 44 + -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. -55 + 7x + 7x = 44 + -7x + 7x Combine like terms: 7x + 7x = 14x -55 + 14x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 -55 + 14x = 44 + 0 -55 + 14x = 44 Add '55' to each side of the equation. -55 + 55 + 14x = 44 + 55 Combine like terms: -55 + 55 = 0 0 + 14x = 44 + 55 14x = 44 + 55 Combine like terms: 44 + 55 = 99 14x = 99 Divide each side by '14'. x = 7.071428571 Simplifying x = 7.071428571
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