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Simplifying 7(-3x + 9) = -20(x + -3) Reorder the terms: 7(9 + -3x) = -20(x + -3) (9 * 7 + -3x * 7) = -20(x + -3) (63 + -21x) = -20(x + -3) Reorder the terms: 63 + -21x = -20(-3 + x) 63 + -21x = (-3 * -20 + x * -20) 63 + -21x = (60 + -20x) Solving 63 + -21x = 60 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 63 + -21x + 20x = 60 + -20x + 20x Combine like terms: -21x + 20x = -1x 63 + -1x = 60 + -20x + 20x Combine like terms: -20x + 20x = 0 63 + -1x = 60 + 0 63 + -1x = 60 Add '-63' to each side of the equation. 63 + -63 + -1x = 60 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 60 + -63 -1x = 60 + -63 Combine like terms: 60 + -63 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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