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Simplifying 3x + -5 + 21x = 7(3x + 5) + 21 Reorder the terms: -5 + 3x + 21x = 7(3x + 5) + 21 Combine like terms: 3x + 21x = 24x -5 + 24x = 7(3x + 5) + 21 Reorder the terms: -5 + 24x = 7(5 + 3x) + 21 -5 + 24x = (5 * 7 + 3x * 7) + 21 -5 + 24x = (35 + 21x) + 21 Reorder the terms: -5 + 24x = 35 + 21 + 21x Combine like terms: 35 + 21 = 56 -5 + 24x = 56 + 21x Solving -5 + 24x = 56 + 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. -5 + 24x + -21x = 56 + 21x + -21x Combine like terms: 24x + -21x = 3x -5 + 3x = 56 + 21x + -21x Combine like terms: 21x + -21x = 0 -5 + 3x = 56 + 0 -5 + 3x = 56 Add '5' to each side of the equation. -5 + 5 + 3x = 56 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 56 + 5 3x = 56 + 5 Combine like terms: 56 + 5 = 61 3x = 61 Divide each side by '3'. x = 20.33333333 Simplifying x = 20.33333333
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