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Simplifying 8x + 13 = 5x + 27 Reorder the terms: 13 + 8x = 5x + 27 Reorder the terms: 13 + 8x = 27 + 5x Solving 13 + 8x = 27 + 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. 13 + 8x + -5x = 27 + 5x + -5x Combine like terms: 8x + -5x = 3x 13 + 3x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 3x = 27 + 0 13 + 3x = 27 Add '-13' to each side of the equation. 13 + -13 + 3x = 27 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 27 + -13 3x = 27 + -13 Combine like terms: 27 + -13 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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