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Simplifying 13x + 21 = 10x + 16 Reorder the terms: 21 + 13x = 10x + 16 Reorder the terms: 21 + 13x = 16 + 10x Solving 21 + 13x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 13x + -10x = 16 + 10x + -10x Combine like terms: 13x + -10x = 3x 21 + 3x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 3x = 16 + 0 21 + 3x = 16 Add '-21' to each side of the equation. 21 + -21 + 3x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 16 + -21 3x = 16 + -21 Combine like terms: 16 + -21 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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