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Simplifying -3(4x + -1) = 7(3 + -3x) Reorder the terms: -3(-1 + 4x) = 7(3 + -3x) (-1 * -3 + 4x * -3) = 7(3 + -3x) (3 + -12x) = 7(3 + -3x) 3 + -12x = (3 * 7 + -3x * 7) 3 + -12x = (21 + -21x) Solving 3 + -12x = 21 + -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. 3 + -12x + 21x = 21 + -21x + 21x Combine like terms: -12x + 21x = 9x 3 + 9x = 21 + -21x + 21x Combine like terms: -21x + 21x = 0 3 + 9x = 21 + 0 3 + 9x = 21 Add '-3' to each side of the equation. 3 + -3 + 9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 21 + -3 9x = 21 + -3 Combine like terms: 21 + -3 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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