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Simplifying 1 + -6(6 + -7x) = 37 + 6x 1 + (6 * -6 + -7x * -6) = 37 + 6x 1 + (-36 + 42x) = 37 + 6x Combine like terms: 1 + -36 = -35 -35 + 42x = 37 + 6x Solving -35 + 42x = 37 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 42x + -6x = 37 + 6x + -6x Combine like terms: 42x + -6x = 36x -35 + 36x = 37 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 36x = 37 + 0 -35 + 36x = 37 Add '35' to each side of the equation. -35 + 35 + 36x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 36x = 37 + 35 36x = 37 + 35 Combine like terms: 37 + 35 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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