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Simplifying -19x + 18 + -47x = -9(5x + 6) Reorder the terms: 18 + -19x + -47x = -9(5x + 6) Combine like terms: -19x + -47x = -66x 18 + -66x = -9(5x + 6) Reorder the terms: 18 + -66x = -9(6 + 5x) 18 + -66x = (6 * -9 + 5x * -9) 18 + -66x = (-54 + -45x) Solving 18 + -66x = -54 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 18 + -66x + 45x = -54 + -45x + 45x Combine like terms: -66x + 45x = -21x 18 + -21x = -54 + -45x + 45x Combine like terms: -45x + 45x = 0 18 + -21x = -54 + 0 18 + -21x = -54 Add '-18' to each side of the equation. 18 + -18 + -21x = -54 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = -54 + -18 -21x = -54 + -18 Combine like terms: -54 + -18 = -72 -21x = -72 Divide each side by '-21'. x = 3.428571429 Simplifying x = 3.428571429
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