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Simplifying 5x + 7 + 4x = 5x + 37 + -14 Reorder the terms: 7 + 5x + 4x = 5x + 37 + -14 Combine like terms: 5x + 4x = 9x 7 + 9x = 5x + 37 + -14 Reorder the terms: 7 + 9x = 37 + -14 + 5x Combine like terms: 37 + -14 = 23 7 + 9x = 23 + 5x Solving 7 + 9x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 9x + -5x = 23 + 5x + -5x Combine like terms: 9x + -5x = 4x 7 + 4x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 4x = 23 + 0 7 + 4x = 23 Add '-7' to each side of the equation. 7 + -7 + 4x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 23 + -7 4x = 23 + -7 Combine like terms: 23 + -7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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