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Simplifying 9[2 + -1(2x + -8)] = 2(9 + -3x) Reorder the terms: 9[2 + -1(-8 + 2x)] = 2(9 + -3x) 9[2 + (-8 * -1 + 2x * -1)] = 2(9 + -3x) 9[2 + (8 + -2x)] = 2(9 + -3x) Combine like terms: 2 + 8 = 10 9[10 + -2x] = 2(9 + -3x) [10 * 9 + -2x * 9] = 2(9 + -3x) [90 + -18x] = 2(9 + -3x) 90 + -18x = (9 * 2 + -3x * 2) 90 + -18x = (18 + -6x) Solving 90 + -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. 90 + -18x + 6x = 18 + -6x + 6x Combine like terms: -18x + 6x = -12x 90 + -12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 90 + -12x = 18 + 0 90 + -12x = 18 Add '-90' to each side of the equation. 90 + -90 + -12x = 18 + -90 Combine like terms: 90 + -90 = 0 0 + -12x = 18 + -90 -12x = 18 + -90 Combine like terms: 18 + -90 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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