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Simplifying 9(3x + 7) + -4(3x + 2) = 7(3x + 1) Reorder the terms: 9(7 + 3x) + -4(3x + 2) = 7(3x + 1) (7 * 9 + 3x * 9) + -4(3x + 2) = 7(3x + 1) (63 + 27x) + -4(3x + 2) = 7(3x + 1) Reorder the terms: 63 + 27x + -4(2 + 3x) = 7(3x + 1) 63 + 27x + (2 * -4 + 3x * -4) = 7(3x + 1) 63 + 27x + (-8 + -12x) = 7(3x + 1) Reorder the terms: 63 + -8 + 27x + -12x = 7(3x + 1) Combine like terms: 63 + -8 = 55 55 + 27x + -12x = 7(3x + 1) Combine like terms: 27x + -12x = 15x 55 + 15x = 7(3x + 1) Reorder the terms: 55 + 15x = 7(1 + 3x) 55 + 15x = (1 * 7 + 3x * 7) 55 + 15x = (7 + 21x) Solving 55 + 15x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 55 + 15x + -21x = 7 + 21x + -21x Combine like terms: 15x + -21x = -6x 55 + -6x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 55 + -6x = 7 + 0 55 + -6x = 7 Add '-55' to each side of the equation. 55 + -55 + -6x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + -6x = 7 + -55 -6x = 7 + -55 Combine like terms: 7 + -55 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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