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Simplifying -5 + 5x + 6x = 8(4x + 8) Combine like terms: 5x + 6x = 11x -5 + 11x = 8(4x + 8) Reorder the terms: -5 + 11x = 8(8 + 4x) -5 + 11x = (8 * 8 + 4x * 8) -5 + 11x = (64 + 32x) Solving -5 + 11x = 64 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -5 + 11x + -32x = 64 + 32x + -32x Combine like terms: 11x + -32x = -21x -5 + -21x = 64 + 32x + -32x Combine like terms: 32x + -32x = 0 -5 + -21x = 64 + 0 -5 + -21x = 64 Add '5' to each side of the equation. -5 + 5 + -21x = 64 + 5 Combine like terms: -5 + 5 = 0 0 + -21x = 64 + 5 -21x = 64 + 5 Combine like terms: 64 + 5 = 69 -21x = 69 Divide each side by '-21'. x = -3.285714286 Simplifying x = -3.285714286
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