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Simplifying 4(x + 8) + 6(x + 10) + 11x + 20 = 0 Reorder the terms: 4(8 + x) + 6(x + 10) + 11x + 20 = 0 (8 * 4 + x * 4) + 6(x + 10) + 11x + 20 = 0 (32 + 4x) + 6(x + 10) + 11x + 20 = 0 Reorder the terms: 32 + 4x + 6(10 + x) + 11x + 20 = 0 32 + 4x + (10 * 6 + x * 6) + 11x + 20 = 0 32 + 4x + (60 + 6x) + 11x + 20 = 0 Reorder the terms: 32 + 60 + 20 + 4x + 6x + 11x = 0 Combine like terms: 32 + 60 = 92 92 + 20 + 4x + 6x + 11x = 0 Combine like terms: 92 + 20 = 112 112 + 4x + 6x + 11x = 0 Combine like terms: 4x + 6x = 10x 112 + 10x + 11x = 0 Combine like terms: 10x + 11x = 21x 112 + 21x = 0 Solving 112 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 21x = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 21x = 0 + -112 21x = 0 + -112 Combine like terms: 0 + -112 = -112 21x = -112 Divide each side by '21'. x = -5.333333333 Simplifying x = -5.333333333
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