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Simplifying 9 + 2(1 + 2(2x + -2)) = 6(x + 9) Reorder the terms: 9 + 2(1 + 2(-2 + 2x)) = 6(x + 9) 9 + 2(1 + (-2 * 2 + 2x * 2)) = 6(x + 9) 9 + 2(1 + (-4 + 4x)) = 6(x + 9) Combine like terms: 1 + -4 = -3 9 + 2(-3 + 4x) = 6(x + 9) 9 + (-3 * 2 + 4x * 2) = 6(x + 9) 9 + (-6 + 8x) = 6(x + 9) Combine like terms: 9 + -6 = 3 3 + 8x = 6(x + 9) Reorder the terms: 3 + 8x = 6(9 + x) 3 + 8x = (9 * 6 + x * 6) 3 + 8x = (54 + 6x) Solving 3 + 8x = 54 + 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. 3 + 8x + -6x = 54 + 6x + -6x Combine like terms: 8x + -6x = 2x 3 + 2x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 2x = 54 + 0 3 + 2x = 54 Add '-3' to each side of the equation. 3 + -3 + 2x = 54 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 54 + -3 2x = 54 + -3 Combine like terms: 54 + -3 = 51 2x = 51 Divide each side by '2'. x = 25.5 Simplifying x = 25.5
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