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Simplifying 6 + 7x = 3x + -38 Reorder the terms: 6 + 7x = -38 + 3x Solving 6 + 7x = -38 + 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. 6 + 7x + -3x = -38 + 3x + -3x Combine like terms: 7x + -3x = 4x 6 + 4x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 4x = -38 + 0 6 + 4x = -38 Add '-6' to each side of the equation. 6 + -6 + 4x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -38 + -6 4x = -38 + -6 Combine like terms: -38 + -6 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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