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Simplifying 2(6 + -3x + -8x) + 8(2x + 6) = 24 Combine like terms: -3x + -8x = -11x 2(6 + -11x) + 8(2x + 6) = 24 (6 * 2 + -11x * 2) + 8(2x + 6) = 24 (12 + -22x) + 8(2x + 6) = 24 Reorder the terms: 12 + -22x + 8(6 + 2x) = 24 12 + -22x + (6 * 8 + 2x * 8) = 24 12 + -22x + (48 + 16x) = 24 Reorder the terms: 12 + 48 + -22x + 16x = 24 Combine like terms: 12 + 48 = 60 60 + -22x + 16x = 24 Combine like terms: -22x + 16x = -6x 60 + -6x = 24 Solving 60 + -6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -6x = 24 + -60 Combine like terms: 60 + -60 = 0 0 + -6x = 24 + -60 -6x = 24 + -60 Combine like terms: 24 + -60 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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