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Simplifying 7 + 20 + 35x = 6x + 15x + 20 Combine like terms: 7 + 20 = 27 27 + 35x = 6x + 15x + 20 Reorder the terms: 27 + 35x = 20 + 6x + 15x Combine like terms: 6x + 15x = 21x 27 + 35x = 20 + 21x Solving 27 + 35x = 20 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 27 + 35x + -21x = 20 + 21x + -21x Combine like terms: 35x + -21x = 14x 27 + 14x = 20 + 21x + -21x Combine like terms: 21x + -21x = 0 27 + 14x = 20 + 0 27 + 14x = 20 Add '-27' to each side of the equation. 27 + -27 + 14x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 14x = 20 + -27 14x = 20 + -27 Combine like terms: 20 + -27 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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