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Simplifying 117 + 7x = 138 + 4x Solving 117 + 7x = 138 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 117 + 7x + -4x = 138 + 4x + -4x Combine like terms: 7x + -4x = 3x 117 + 3x = 138 + 4x + -4x Combine like terms: 4x + -4x = 0 117 + 3x = 138 + 0 117 + 3x = 138 Add '-117' to each side of the equation. 117 + -117 + 3x = 138 + -117 Combine like terms: 117 + -117 = 0 0 + 3x = 138 + -117 3x = 138 + -117 Combine like terms: 138 + -117 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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