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Simplifying 21 = -6(-2x + -3) + 3(7x + 1) Reorder the terms: 21 = -6(-3 + -2x) + 3(7x + 1) 21 = (-3 * -6 + -2x * -6) + 3(7x + 1) 21 = (18 + 12x) + 3(7x + 1) Reorder the terms: 21 = 18 + 12x + 3(1 + 7x) 21 = 18 + 12x + (1 * 3 + 7x * 3) 21 = 18 + 12x + (3 + 21x) Reorder the terms: 21 = 18 + 3 + 12x + 21x Combine like terms: 18 + 3 = 21 21 = 21 + 12x + 21x Combine like terms: 12x + 21x = 33x 21 = 21 + 33x Add '-21' to each side of the equation. 21 + -21 = 21 + -21 + 33x Combine like terms: 21 + -21 = 0 0 = 21 + -21 + 33x Combine like terms: 21 + -21 = 0 0 = 0 + 33x 0 = 33x Solving 0 = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 0 + -33x = 33x + -33x Remove the zero: -33x = 33x + -33x Combine like terms: 33x + -33x = 0 -33x = 0 Divide each side by '-33'. x = 0 Simplifying x = 0
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