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Simplifying 3 + -7(3x + -2) = 4(3x + 2) + -3x Reorder the terms: 3 + -7(-2 + 3x) = 4(3x + 2) + -3x 3 + (-2 * -7 + 3x * -7) = 4(3x + 2) + -3x 3 + (14 + -21x) = 4(3x + 2) + -3x Combine like terms: 3 + 14 = 17 17 + -21x = 4(3x + 2) + -3x Reorder the terms: 17 + -21x = 4(2 + 3x) + -3x 17 + -21x = (2 * 4 + 3x * 4) + -3x 17 + -21x = (8 + 12x) + -3x Combine like terms: 12x + -3x = 9x 17 + -21x = 8 + 9x Solving 17 + -21x = 8 + 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. 17 + -21x + -9x = 8 + 9x + -9x Combine like terms: -21x + -9x = -30x 17 + -30x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -30x = 8 + 0 17 + -30x = 8 Add '-17' to each side of the equation. 17 + -17 + -30x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -30x = 8 + -17 -30x = 8 + -17 Combine like terms: 8 + -17 = -9 -30x = -9 Divide each side by '-30'. x = 0.3 Simplifying x = 0.3
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