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Simplifying -9(2x + 7) = -3(7x + 13) Reorder the terms: -9(7 + 2x) = -3(7x + 13) (7 * -9 + 2x * -9) = -3(7x + 13) (-63 + -18x) = -3(7x + 13) Reorder the terms: -63 + -18x = -3(13 + 7x) -63 + -18x = (13 * -3 + 7x * -3) -63 + -18x = (-39 + -21x) Solving -63 + -18x = -39 + -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. -63 + -18x + 21x = -39 + -21x + 21x Combine like terms: -18x + 21x = 3x -63 + 3x = -39 + -21x + 21x Combine like terms: -21x + 21x = 0 -63 + 3x = -39 + 0 -63 + 3x = -39 Add '63' to each side of the equation. -63 + 63 + 3x = -39 + 63 Combine like terms: -63 + 63 = 0 0 + 3x = -39 + 63 3x = -39 + 63 Combine like terms: -39 + 63 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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