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Simplifying 21x + 35 + -8 = 16x + 40 + -7x + 5 Reorder the terms: 35 + -8 + 21x = 16x + 40 + -7x + 5 Combine like terms: 35 + -8 = 27 27 + 21x = 16x + 40 + -7x + 5 Reorder the terms: 27 + 21x = 40 + 5 + 16x + -7x Combine like terms: 40 + 5 = 45 27 + 21x = 45 + 16x + -7x Combine like terms: 16x + -7x = 9x 27 + 21x = 45 + 9x Solving 27 + 21x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 21x + -9x = 45 + 9x + -9x Combine like terms: 21x + -9x = 12x 27 + 12x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + 12x = 45 + 0 27 + 12x = 45 Add '-27' to each side of the equation. 27 + -27 + 12x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 45 + -27 12x = 45 + -27 Combine like terms: 45 + -27 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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