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Simplifying 37 + 1x = 77 + (-3x) Solving 37 + 1x = 77 + (-3x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(3x)' to each side of the equation. 37 + 1x + (3x) = 77 + (-3x) + (3x) Combine like terms: 1x + (3x) = 4x 37 + 4x = 77 + (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 37 + 4x = 77 + 0 37 + 4x = 77 Add '-37' to each side of the equation. 37 + -37 + 4x = 77 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 77 + -37 4x = 77 + -37 Combine like terms: 77 + -37 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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