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Simplifying 9[2 + -1(2x + -4)] = 2(9 + -3x) Reorder the terms: 9[2 + -1(-4 + 2x)] = 2(9 + -3x) 9[2 + (-4 * -1 + 2x * -1)] = 2(9 + -3x) 9[2 + (4 + -2x)] = 2(9 + -3x) Combine like terms: 2 + 4 = 6 9[6 + -2x] = 2(9 + -3x) [6 * 9 + -2x * 9] = 2(9 + -3x) [54 + -18x] = 2(9 + -3x) 54 + -18x = (9 * 2 + -3x * 2) 54 + -18x = (18 + -6x) Solving 54 + -18x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 54 + -18x + 6x = 18 + -6x + 6x Combine like terms: -18x + 6x = -12x 54 + -12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 54 + -12x = 18 + 0 54 + -12x = 18 Add '-54' to each side of the equation. 54 + -54 + -12x = 18 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = 18 + -54 -12x = 18 + -54 Combine like terms: 18 + -54 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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