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Simplifying 2(x + -9) + 9 = 2x + -9(9 + -1x) Reorder the terms: 2(-9 + x) + 9 = 2x + -9(9 + -1x) (-9 * 2 + x * 2) + 9 = 2x + -9(9 + -1x) (-18 + 2x) + 9 = 2x + -9(9 + -1x) Reorder the terms: -18 + 9 + 2x = 2x + -9(9 + -1x) Combine like terms: -18 + 9 = -9 -9 + 2x = 2x + -9(9 + -1x) -9 + 2x = 2x + (9 * -9 + -1x * -9) -9 + 2x = 2x + (-81 + 9x) Reorder the terms: -9 + 2x = -81 + 2x + 9x Combine like terms: 2x + 9x = 11x -9 + 2x = -81 + 11x Solving -9 + 2x = -81 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9 + 2x + -11x = -81 + 11x + -11x Combine like terms: 2x + -11x = -9x -9 + -9x = -81 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + -9x = -81 + 0 -9 + -9x = -81 Add '9' to each side of the equation. -9 + 9 + -9x = -81 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = -81 + 9 -9x = -81 + 9 Combine like terms: -81 + 9 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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