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Simplifying -3(x + 2) = -7(3x + 6) Reorder the terms: -3(2 + x) = -7(3x + 6) (2 * -3 + x * -3) = -7(3x + 6) (-6 + -3x) = -7(3x + 6) Reorder the terms: -6 + -3x = -7(6 + 3x) -6 + -3x = (6 * -7 + 3x * -7) -6 + -3x = (-42 + -21x) Solving -6 + -3x = -42 + -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. -6 + -3x + 21x = -42 + -21x + 21x Combine like terms: -3x + 21x = 18x -6 + 18x = -42 + -21x + 21x Combine like terms: -21x + 21x = 0 -6 + 18x = -42 + 0 -6 + 18x = -42 Add '6' to each side of the equation. -6 + 6 + 18x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = -42 + 6 18x = -42 + 6 Combine like terms: -42 + 6 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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