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Simplifying 2x + 27 = 5x + 10 Reorder the terms: 27 + 2x = 5x + 10 Reorder the terms: 27 + 2x = 10 + 5x Solving 27 + 2x = 10 + 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. 27 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 27 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -3x = 10 + 0 27 + -3x = 10 Add '-27' to each side of the equation. 27 + -27 + -3x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 10 + -27 -3x = 10 + -27 Combine like terms: 10 + -27 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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