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Simplifying -37 + 2x = 7(1 + -6x) -37 + 2x = (1 * 7 + -6x * 7) -37 + 2x = (7 + -42x) Solving -37 + 2x = 7 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -37 + 2x + 42x = 7 + -42x + 42x Combine like terms: 2x + 42x = 44x -37 + 44x = 7 + -42x + 42x Combine like terms: -42x + 42x = 0 -37 + 44x = 7 + 0 -37 + 44x = 7 Add '37' to each side of the equation. -37 + 37 + 44x = 7 + 37 Combine like terms: -37 + 37 = 0 0 + 44x = 7 + 37 44x = 7 + 37 Combine like terms: 7 + 37 = 44 44x = 44 Divide each side by '44'. x = 1 Simplifying x = 1
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