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Simplifying 3(6 + 2x) = 37 + -7(3x + 4) (6 * 3 + 2x * 3) = 37 + -7(3x + 4) (18 + 6x) = 37 + -7(3x + 4) Reorder the terms: 18 + 6x = 37 + -7(4 + 3x) 18 + 6x = 37 + (4 * -7 + 3x * -7) 18 + 6x = 37 + (-28 + -21x) Combine like terms: 37 + -28 = 9 18 + 6x = 9 + -21x Solving 18 + 6x = 9 + -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. 18 + 6x + 21x = 9 + -21x + 21x Combine like terms: 6x + 21x = 27x 18 + 27x = 9 + -21x + 21x Combine like terms: -21x + 21x = 0 18 + 27x = 9 + 0 18 + 27x = 9 Add '-18' to each side of the equation. 18 + -18 + 27x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 27x = 9 + -18 27x = 9 + -18 Combine like terms: 9 + -18 = -9 27x = -9 Divide each side by '27'. x = -0.3333333333 Simplifying x = -0.3333333333
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