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Simplifying 9 + 7(x + -8) = 7 + -7(x + -8) Reorder the terms: 9 + 7(-8 + x) = 7 + -7(x + -8) 9 + (-8 * 7 + x * 7) = 7 + -7(x + -8) 9 + (-56 + 7x) = 7 + -7(x + -8) Combine like terms: 9 + -56 = -47 -47 + 7x = 7 + -7(x + -8) Reorder the terms: -47 + 7x = 7 + -7(-8 + x) -47 + 7x = 7 + (-8 * -7 + x * -7) -47 + 7x = 7 + (56 + -7x) Combine like terms: 7 + 56 = 63 -47 + 7x = 63 + -7x Solving -47 + 7x = 63 + -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. -47 + 7x + 7x = 63 + -7x + 7x Combine like terms: 7x + 7x = 14x -47 + 14x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + 14x = 63 + 0 -47 + 14x = 63 Add '47' to each side of the equation. -47 + 47 + 14x = 63 + 47 Combine like terms: -47 + 47 = 0 0 + 14x = 63 + 47 14x = 63 + 47 Combine like terms: 63 + 47 = 110 14x = 110 Divide each side by '14'. x = 7.857142857 Simplifying x = 7.857142857
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