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Simplifying 4x + -7(3x + 6) = 4x + -9 Reorder the terms: 4x + -7(6 + 3x) = 4x + -9 4x + (6 * -7 + 3x * -7) = 4x + -9 4x + (-42 + -21x) = 4x + -9 Reorder the terms: -42 + 4x + -21x = 4x + -9 Combine like terms: 4x + -21x = -17x -42 + -17x = 4x + -9 Reorder the terms: -42 + -17x = -9 + 4x Solving -42 + -17x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + -17x + -4x = -9 + 4x + -4x Combine like terms: -17x + -4x = -21x -42 + -21x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -21x = -9 + 0 -42 + -21x = -9 Add '42' to each side of the equation. -42 + 42 + -21x = -9 + 42 Combine like terms: -42 + 42 = 0 0 + -21x = -9 + 42 -21x = -9 + 42 Combine like terms: -9 + 42 = 33 -21x = 33 Divide each side by '-21'. x = -1.571428571 Simplifying x = -1.571428571
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