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Simplifying 7(3 + -1x) = 9(x + -3) (3 * 7 + -1x * 7) = 9(x + -3) (21 + -7x) = 9(x + -3) Reorder the terms: 21 + -7x = 9(-3 + x) 21 + -7x = (-3 * 9 + x * 9) 21 + -7x = (-27 + 9x) Solving 21 + -7x = -27 + 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. 21 + -7x + -9x = -27 + 9x + -9x Combine like terms: -7x + -9x = -16x 21 + -16x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -16x = -27 + 0 21 + -16x = -27 Add '-21' to each side of the equation. 21 + -21 + -16x = -27 + -21 Combine like terms: 21 + -21 = 0 0 + -16x = -27 + -21 -16x = -27 + -21 Combine like terms: -27 + -21 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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