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Simplifying 7(2 + -3x) + 4(X + 7) = 0 (2 * 7 + -3x * 7) + 4(X + 7) = 0 (14 + -21x) + 4(X + 7) = 0 Reorder the terms: 14 + -21x + 4(7 + X) = 0 14 + -21x + (7 * 4 + X * 4) = 0 14 + -21x + (28 + 4X) = 0 Reorder the terms: 14 + 28 + 4X + -21x = 0 Combine like terms: 14 + 28 = 42 42 + 4X + -21x = 0 Solving 42 + 4X + -21x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 4X + -42 + -21x = 0 + -42 Reorder the terms: 42 + -42 + 4X + -21x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 4X + -21x = 0 + -42 4X + -21x = 0 + -42 Combine like terms: 0 + -42 = -42 4X + -21x = -42 Add '21x' to each side of the equation. 4X + -21x + 21x = -42 + 21x Combine like terms: -21x + 21x = 0 4X + 0 = -42 + 21x 4X = -42 + 21x Divide each side by '4'. X = -10.5 + 5.25x Simplifying X = -10.5 + 5.25x
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