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Simplifying 6x + 13 = 5x + 21 Reorder the terms: 13 + 6x = 5x + 21 Reorder the terms: 13 + 6x = 21 + 5x Solving 13 + 6x = 21 + 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 + 6x + -5x = 21 + 5x + -5x Combine like terms: 6x + -5x = 1x 13 + 1x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 1x = 21 + 0 13 + 1x = 21 Add '-13' to each side of the equation. 13 + -13 + 1x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 21 + -13 1x = 21 + -13 Combine like terms: 21 + -13 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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