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Simplifying 3(21 + 7x) + -72 = -21x + 75 (21 * 3 + 7x * 3) + -72 = -21x + 75 (63 + 21x) + -72 = -21x + 75 Reorder the terms: 63 + -72 + 21x = -21x + 75 Combine like terms: 63 + -72 = -9 -9 + 21x = -21x + 75 Reorder the terms: -9 + 21x = 75 + -21x Solving -9 + 21x = 75 + -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. -9 + 21x + 21x = 75 + -21x + 21x Combine like terms: 21x + 21x = 42x -9 + 42x = 75 + -21x + 21x Combine like terms: -21x + 21x = 0 -9 + 42x = 75 + 0 -9 + 42x = 75 Add '9' to each side of the equation. -9 + 9 + 42x = 75 + 9 Combine like terms: -9 + 9 = 0 0 + 42x = 75 + 9 42x = 75 + 9 Combine like terms: 75 + 9 = 84 42x = 84 Divide each side by '42'. x = 2 Simplifying x = 2
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