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Simplifying 4x + 7 + -2x + 9 + 5x = 27 + 38 Reorder the terms: 7 + 9 + 4x + -2x + 5x = 27 + 38 Combine like terms: 7 + 9 = 16 16 + 4x + -2x + 5x = 27 + 38 Combine like terms: 4x + -2x = 2x 16 + 2x + 5x = 27 + 38 Combine like terms: 2x + 5x = 7x 16 + 7x = 27 + 38 Combine like terms: 27 + 38 = 65 16 + 7x = 65 Solving 16 + 7x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 65 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 65 + -16 7x = 65 + -16 Combine like terms: 65 + -16 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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