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Simplifying 20 + -4(x + 4) = 17(x + 5) + -54 Reorder the terms: 20 + -4(4 + x) = 17(x + 5) + -54 20 + (4 * -4 + x * -4) = 17(x + 5) + -54 20 + (-16 + -4x) = 17(x + 5) + -54 Combine like terms: 20 + -16 = 4 4 + -4x = 17(x + 5) + -54 Reorder the terms: 4 + -4x = 17(5 + x) + -54 4 + -4x = (5 * 17 + x * 17) + -54 4 + -4x = (85 + 17x) + -54 Reorder the terms: 4 + -4x = 85 + -54 + 17x Combine like terms: 85 + -54 = 31 4 + -4x = 31 + 17x Solving 4 + -4x = 31 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 4 + -4x + -17x = 31 + 17x + -17x Combine like terms: -4x + -17x = -21x 4 + -21x = 31 + 17x + -17x Combine like terms: 17x + -17x = 0 4 + -21x = 31 + 0 4 + -21x = 31 Add '-4' to each side of the equation. 4 + -4 + -21x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 31 + -4 -21x = 31 + -4 Combine like terms: 31 + -4 = 27 -21x = 27 Divide each side by '-21'. x = -1.285714286 Simplifying x = -1.285714286
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