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Simplifying -37 + 2x = 71 + -7x Solving -37 + 2x = 71 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -37 + 2x + 7x = 71 + -7x + 7x Combine like terms: 2x + 7x = 9x -37 + 9x = 71 + -7x + 7x Combine like terms: -7x + 7x = 0 -37 + 9x = 71 + 0 -37 + 9x = 71 Add '37' to each side of the equation. -37 + 37 + 9x = 71 + 37 Combine like terms: -37 + 37 = 0 0 + 9x = 71 + 37 9x = 71 + 37 Combine like terms: 71 + 37 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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