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Simplifying 7(3x + -9) = 3(6x + 4) Reorder the terms: 7(-9 + 3x) = 3(6x + 4) (-9 * 7 + 3x * 7) = 3(6x + 4) (-63 + 21x) = 3(6x + 4) Reorder the terms: -63 + 21x = 3(4 + 6x) -63 + 21x = (4 * 3 + 6x * 3) -63 + 21x = (12 + 18x) Solving -63 + 21x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -63 + 21x + -18x = 12 + 18x + -18x Combine like terms: 21x + -18x = 3x -63 + 3x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -63 + 3x = 12 + 0 -63 + 3x = 12 Add '63' to each side of the equation. -63 + 63 + 3x = 12 + 63 Combine like terms: -63 + 63 = 0 0 + 3x = 12 + 63 3x = 12 + 63 Combine like terms: 12 + 63 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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