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Simplifying 2(3x + -1(4x + -8)) = 9(x + -8) Reorder the terms: 2(3x + -1(-8 + 4x)) = 9(x + -8) 2(3x + (-8 * -1 + 4x * -1)) = 9(x + -8) 2(3x + (8 + -4x)) = 9(x + -8) Reorder the terms: 2(8 + 3x + -4x) = 9(x + -8) Combine like terms: 3x + -4x = -1x 2(8 + -1x) = 9(x + -8) (8 * 2 + -1x * 2) = 9(x + -8) (16 + -2x) = 9(x + -8) Reorder the terms: 16 + -2x = 9(-8 + x) 16 + -2x = (-8 * 9 + x * 9) 16 + -2x = (-72 + 9x) Solving 16 + -2x = -72 + 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. 16 + -2x + -9x = -72 + 9x + -9x Combine like terms: -2x + -9x = -11x 16 + -11x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -11x = -72 + 0 16 + -11x = -72 Add '-16' to each side of the equation. 16 + -16 + -11x = -72 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = -72 + -16 -11x = -72 + -16 Combine like terms: -72 + -16 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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