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Simplifying 8x + 6 + 16x + -21 = 21x + 6 Reorder the terms: 6 + -21 + 8x + 16x = 21x + 6 Combine like terms: 6 + -21 = -15 -15 + 8x + 16x = 21x + 6 Combine like terms: 8x + 16x = 24x -15 + 24x = 21x + 6 Reorder the terms: -15 + 24x = 6 + 21x Solving -15 + 24x = 6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -15 + 24x + -21x = 6 + 21x + -21x Combine like terms: 24x + -21x = 3x -15 + 3x = 6 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + 3x = 6 + 0 -15 + 3x = 6 Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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