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Simplifying 117 + 9x = 157 + 4x Solving 117 + 9x = 157 + 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 + 9x + -4x = 157 + 4x + -4x Combine like terms: 9x + -4x = 5x 117 + 5x = 157 + 4x + -4x Combine like terms: 4x + -4x = 0 117 + 5x = 157 + 0 117 + 5x = 157 Add '-117' to each side of the equation. 117 + -117 + 5x = 157 + -117 Combine like terms: 117 + -117 = 0 0 + 5x = 157 + -117 5x = 157 + -117 Combine like terms: 157 + -117 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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