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Simplifying 9(2 + -2(2x + -4)) = 2(9 + -3x) Reorder the terms: 9(2 + -2(-4 + 2x)) = 2(9 + -3x) 9(2 + (-4 * -2 + 2x * -2)) = 2(9 + -3x) 9(2 + (8 + -4x)) = 2(9 + -3x) Combine like terms: 2 + 8 = 10 9(10 + -4x) = 2(9 + -3x) (10 * 9 + -4x * 9) = 2(9 + -3x) (90 + -36x) = 2(9 + -3x) 90 + -36x = (9 * 2 + -3x * 2) 90 + -36x = (18 + -6x) Solving 90 + -36x = 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 + -36x + 6x = 18 + -6x + 6x Combine like terms: -36x + 6x = -30x 90 + -30x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 90 + -30x = 18 + 0 90 + -30x = 18 Add '-90' to each side of the equation. 90 + -90 + -30x = 18 + -90 Combine like terms: 90 + -90 = 0 0 + -30x = 18 + -90 -30x = 18 + -90 Combine like terms: 18 + -90 = -72 -30x = -72 Divide each side by '-30'. x = 2.4 Simplifying x = 2.4
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