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Simplifying 2(x + -9) + 9 = 2x + -9(x + -9) Reorder the terms: 2(-9 + x) + 9 = 2x + -9(x + -9) (-9 * 2 + x * 2) + 9 = 2x + -9(x + -9) (-18 + 2x) + 9 = 2x + -9(x + -9) Reorder the terms: -18 + 9 + 2x = 2x + -9(x + -9) Combine like terms: -18 + 9 = -9 -9 + 2x = 2x + -9(x + -9) Reorder the terms: -9 + 2x = 2x + -9(-9 + x) -9 + 2x = 2x + (-9 * -9 + x * -9) -9 + 2x = 2x + (81 + -9x) Reorder the terms: -9 + 2x = 81 + 2x + -9x Combine like terms: 2x + -9x = -7x -9 + 2x = 81 + -7x Solving -9 + 2x = 81 + -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. -9 + 2x + 7x = 81 + -7x + 7x Combine like terms: 2x + 7x = 9x -9 + 9x = 81 + -7x + 7x Combine like terms: -7x + 7x = 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 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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