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Simplifying 3(7x + -9) = 9(x + -63) Reorder the terms: 3(-9 + 7x) = 9(x + -63) (-9 * 3 + 7x * 3) = 9(x + -63) (-27 + 21x) = 9(x + -63) Reorder the terms: -27 + 21x = 9(-63 + x) -27 + 21x = (-63 * 9 + x * 9) -27 + 21x = (-567 + 9x) Solving -27 + 21x = -567 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -27 + 21x + -9x = -567 + 9x + -9x Combine like terms: 21x + -9x = 12x -27 + 12x = -567 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + 12x = -567 + 0 -27 + 12x = -567 Add '27' to each side of the equation. -27 + 27 + 12x = -567 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = -567 + 27 12x = -567 + 27 Combine like terms: -567 + 27 = -540 12x = -540 Divide each side by '12'. x = -45 Simplifying x = -45
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