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Simplifying -7x + 37 = -7 + 2(1 + -7x) Reorder the terms: 37 + -7x = -7 + 2(1 + -7x) 37 + -7x = -7 + (1 * 2 + -7x * 2) 37 + -7x = -7 + (2 + -14x) Combine like terms: -7 + 2 = -5 37 + -7x = -5 + -14x Solving 37 + -7x = -5 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 37 + -7x + 14x = -5 + -14x + 14x Combine like terms: -7x + 14x = 7x 37 + 7x = -5 + -14x + 14x Combine like terms: -14x + 14x = 0 37 + 7x = -5 + 0 37 + 7x = -5 Add '-37' to each side of the equation. 37 + -37 + 7x = -5 + -37 Combine like terms: 37 + -37 = 0 0 + 7x = -5 + -37 7x = -5 + -37 Combine like terms: -5 + -37 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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