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Simplifying 15x + 21 = 12x + 17 + 79 Reorder the terms: 21 + 15x = 12x + 17 + 79 Reorder the terms: 21 + 15x = 17 + 79 + 12x Combine like terms: 17 + 79 = 96 21 + 15x = 96 + 12x Solving 21 + 15x = 96 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 15x + -12x = 96 + 12x + -12x Combine like terms: 15x + -12x = 3x 21 + 3x = 96 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + 3x = 96 + 0 21 + 3x = 96 Add '-21' to each side of the equation. 21 + -21 + 3x = 96 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 96 + -21 3x = 96 + -21 Combine like terms: 96 + -21 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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