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Simplifying 2 + 9(x + -9) = 8 + -9(x + -7) Reorder the terms: 2 + 9(-9 + x) = 8 + -9(x + -7) 2 + (-9 * 9 + x * 9) = 8 + -9(x + -7) 2 + (-81 + 9x) = 8 + -9(x + -7) Combine like terms: 2 + -81 = -79 -79 + 9x = 8 + -9(x + -7) Reorder the terms: -79 + 9x = 8 + -9(-7 + x) -79 + 9x = 8 + (-7 * -9 + x * -9) -79 + 9x = 8 + (63 + -9x) Combine like terms: 8 + 63 = 71 -79 + 9x = 71 + -9x Solving -79 + 9x = 71 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -79 + 9x + 9x = 71 + -9x + 9x Combine like terms: 9x + 9x = 18x -79 + 18x = 71 + -9x + 9x Combine like terms: -9x + 9x = 0 -79 + 18x = 71 + 0 -79 + 18x = 71 Add '79' to each side of the equation. -79 + 79 + 18x = 71 + 79 Combine like terms: -79 + 79 = 0 0 + 18x = 71 + 79 18x = 71 + 79 Combine like terms: 71 + 79 = 150 18x = 150 Divide each side by '18'. x = 8.333333333 Simplifying x = 8.333333333
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