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Simplifying 74 + 8x + 14 + -17x = 85 + 1x + 3 + -21x Reorder the terms: 74 + 14 + 8x + -17x = 85 + 1x + 3 + -21x Combine like terms: 74 + 14 = 88 88 + 8x + -17x = 85 + 1x + 3 + -21x Combine like terms: 8x + -17x = -9x 88 + -9x = 85 + 1x + 3 + -21x Reorder the terms: 88 + -9x = 85 + 3 + 1x + -21x Combine like terms: 85 + 3 = 88 88 + -9x = 88 + 1x + -21x Combine like terms: 1x + -21x = -20x 88 + -9x = 88 + -20x Add '-88' to each side of the equation. 88 + -88 + -9x = 88 + -88 + -20x Combine like terms: 88 + -88 = 0 0 + -9x = 88 + -88 + -20x -9x = 88 + -88 + -20x Combine like terms: 88 + -88 = 0 -9x = 0 + -20x -9x = -20x Solving -9x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -9x + 20x = -20x + 20x Combine like terms: -9x + 20x = 11x 11x = -20x + 20x Combine like terms: -20x + 20x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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