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Simplifying 3(3x + 4) = 30(x + -1) Reorder the terms: 3(4 + 3x) = 30(x + -1) (4 * 3 + 3x * 3) = 30(x + -1) (12 + 9x) = 30(x + -1) Reorder the terms: 12 + 9x = 30(-1 + x) 12 + 9x = (-1 * 30 + x * 30) 12 + 9x = (-30 + 30x) Solving 12 + 9x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + 9x + -30x = -30 + 30x + -30x Combine like terms: 9x + -30x = -21x 12 + -21x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -21x = -30 + 0 12 + -21x = -30 Add '-12' to each side of the equation. 12 + -12 + -21x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = -30 + -12 -21x = -30 + -12 Combine like terms: -30 + -12 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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