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Simplifying -20 + 8(2x + 4) + -8x = 5(x + 9) Reorder the terms: -20 + 8(4 + 2x) + -8x = 5(x + 9) -20 + (4 * 8 + 2x * 8) + -8x = 5(x + 9) -20 + (32 + 16x) + -8x = 5(x + 9) Combine like terms: -20 + 32 = 12 12 + 16x + -8x = 5(x + 9) Combine like terms: 16x + -8x = 8x 12 + 8x = 5(x + 9) Reorder the terms: 12 + 8x = 5(9 + x) 12 + 8x = (9 * 5 + x * 5) 12 + 8x = (45 + 5x) Solving 12 + 8x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = 45 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = 45 + 0 12 + 3x = 45 Add '-12' to each side of the equation. 12 + -12 + 3x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 45 + -12 3x = 45 + -12 Combine like terms: 45 + -12 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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