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Simplifying 7x + 138 = 3x + 162 Reorder the terms: 138 + 7x = 3x + 162 Reorder the terms: 138 + 7x = 162 + 3x Solving 138 + 7x = 162 + 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. 138 + 7x + -3x = 162 + 3x + -3x Combine like terms: 7x + -3x = 4x 138 + 4x = 162 + 3x + -3x Combine like terms: 3x + -3x = 0 138 + 4x = 162 + 0 138 + 4x = 162 Add '-138' to each side of the equation. 138 + -138 + 4x = 162 + -138 Combine like terms: 138 + -138 = 0 0 + 4x = 162 + -138 4x = 162 + -138 Combine like terms: 162 + -138 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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