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Simplifying -37 + -7x = 7(3 + -6x) + 6x -37 + -7x = (3 * 7 + -6x * 7) + 6x -37 + -7x = (21 + -42x) + 6x Combine like terms: -42x + 6x = -36x -37 + -7x = 21 + -36x Solving -37 + -7x = 21 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -37 + -7x + 36x = 21 + -36x + 36x Combine like terms: -7x + 36x = 29x -37 + 29x = 21 + -36x + 36x Combine like terms: -36x + 36x = 0 -37 + 29x = 21 + 0 -37 + 29x = 21 Add '37' to each side of the equation. -37 + 37 + 29x = 21 + 37 Combine like terms: -37 + 37 = 0 0 + 29x = 21 + 37 29x = 21 + 37 Combine like terms: 21 + 37 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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