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Simplifying 37 + 5x = 67 + (-1x) Solving 37 + 5x = 67 + (-1x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(x)' to each side of the equation. 37 + 5x + (x) = 67 + (-1x) + (x) 37 + 5x + x = 67 + (-1x) + (x) Combine like terms: 5x + x = 6x 37 + 6x = 67 + (-1x) + (x) 37 + 6x = 67 + (-1x) + x Combine like terms: (-1x) + x = 0 37 + 6x = 67 + 0 37 + 6x = 67 Add '-37' to each side of the equation. 37 + -37 + 6x = 67 + -37 Combine like terms: 37 + -37 = 0 0 + 6x = 67 + -37 6x = 67 + -37 Combine like terms: 67 + -37 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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