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Simplifying -37 + -1x = 6(1 + 7x) -37 + -1x = (1 * 6 + 7x * 6) -37 + -1x = (6 + 42x) Solving -37 + -1x = 6 + 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 + -1x + -42x = 6 + 42x + -42x Combine like terms: -1x + -42x = -43x -37 + -43x = 6 + 42x + -42x Combine like terms: 42x + -42x = 0 -37 + -43x = 6 + 0 -37 + -43x = 6 Add '37' to each side of the equation. -37 + 37 + -43x = 6 + 37 Combine like terms: -37 + 37 = 0 0 + -43x = 6 + 37 -43x = 6 + 37 Combine like terms: 6 + 37 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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