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Simplifying 9[x + -1(2 + -1x) + -2x] = 9(4 + -1x) 9[x + (2 * -1 + -1x * -1) + -2x] = 9(4 + -1x) 9[x + (-2 + 1x) + -2x] = 9(4 + -1x) Reorder the terms: 9[-2 + x + 1x + -2x] = 9(4 + -1x) Combine like terms: x + 1x = 2x 9[-2 + 2x + -2x] = 9(4 + -1x) Combine like terms: 2x + -2x = 0 9[-2 + 0] = 9(4 + -1x) 9[-2] = 9(4 + -1x) Multiply 9 * -2 -18 = 9(4 + -1x) -18 = (4 * 9 + -1x * 9) -18 = (36 + -9x) Solving -18 = 36 + -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. -18 + 9x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 9x = 36 + 0 -18 + 9x = 36 Add '18' to each side of the equation. -18 + 18 + 9x = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 36 + 18 9x = 36 + 18 Combine like terms: 36 + 18 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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