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Simplifying 14(x + 2) = 9 + 35(x + 1) Reorder the terms: 14(2 + x) = 9 + 35(x + 1) (2 * 14 + x * 14) = 9 + 35(x + 1) (28 + 14x) = 9 + 35(x + 1) Reorder the terms: 28 + 14x = 9 + 35(1 + x) 28 + 14x = 9 + (1 * 35 + x * 35) 28 + 14x = 9 + (35 + 35x) Combine like terms: 9 + 35 = 44 28 + 14x = 44 + 35x Solving 28 + 14x = 44 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 28 + 14x + -35x = 44 + 35x + -35x Combine like terms: 14x + -35x = -21x 28 + -21x = 44 + 35x + -35x Combine like terms: 35x + -35x = 0 28 + -21x = 44 + 0 28 + -21x = 44 Add '-28' to each side of the equation. 28 + -28 + -21x = 44 + -28 Combine like terms: 28 + -28 = 0 0 + -21x = 44 + -28 -21x = 44 + -28 Combine like terms: 44 + -28 = 16 -21x = 16 Divide each side by '-21'. x = -0.7619047619 Simplifying x = -0.7619047619
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