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Simplifying 3(3 + -4x) = 7 + -3(1 + -3x) (3 * 3 + -4x * 3) = 7 + -3(1 + -3x) (9 + -12x) = 7 + -3(1 + -3x) 9 + -12x = 7 + (1 * -3 + -3x * -3) 9 + -12x = 7 + (-3 + 9x) Combine like terms: 7 + -3 = 4 9 + -12x = 4 + 9x Solving 9 + -12x = 4 + 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. 9 + -12x + -9x = 4 + 9x + -9x Combine like terms: -12x + -9x = -21x 9 + -21x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + -21x = 4 + 0 9 + -21x = 4 Add '-9' to each side of the equation. 9 + -9 + -21x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -21x = 4 + -9 -21x = 4 + -9 Combine like terms: 4 + -9 = -5 -21x = -5 Divide each side by '-21'. x = 0.2380952381 Simplifying x = 0.2380952381
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