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Simplifying 4(8 + -4x + -9x) + 8(4x + 6) = 20 Combine like terms: -4x + -9x = -13x 4(8 + -13x) + 8(4x + 6) = 20 (8 * 4 + -13x * 4) + 8(4x + 6) = 20 (32 + -52x) + 8(4x + 6) = 20 Reorder the terms: 32 + -52x + 8(6 + 4x) = 20 32 + -52x + (6 * 8 + 4x * 8) = 20 32 + -52x + (48 + 32x) = 20 Reorder the terms: 32 + 48 + -52x + 32x = 20 Combine like terms: 32 + 48 = 80 80 + -52x + 32x = 20 Combine like terms: -52x + 32x = -20x 80 + -20x = 20 Solving 80 + -20x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -20x = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -20x = 20 + -80 -20x = 20 + -80 Combine like terms: 20 + -80 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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