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Simplifying 7(18 + -1X) = 6(3 + -5X) + -1(7X + 22) (18 * 7 + -1X * 7) = 6(3 + -5X) + -1(7X + 22) (126 + -7X) = 6(3 + -5X) + -1(7X + 22) 126 + -7X = (3 * 6 + -5X * 6) + -1(7X + 22) 126 + -7X = (18 + -30X) + -1(7X + 22) Reorder the terms: 126 + -7X = 18 + -30X + -1(22 + 7X) 126 + -7X = 18 + -30X + (22 * -1 + 7X * -1) 126 + -7X = 18 + -30X + (-22 + -7X) Reorder the terms: 126 + -7X = 18 + -22 + -30X + -7X Combine like terms: 18 + -22 = -4 126 + -7X = -4 + -30X + -7X Combine like terms: -30X + -7X = -37X 126 + -7X = -4 + -37X Solving 126 + -7X = -4 + -37X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '37X' to each side of the equation. 126 + -7X + 37X = -4 + -37X + 37X Combine like terms: -7X + 37X = 30X 126 + 30X = -4 + -37X + 37X Combine like terms: -37X + 37X = 0 126 + 30X = -4 + 0 126 + 30X = -4 Add '-126' to each side of the equation. 126 + -126 + 30X = -4 + -126 Combine like terms: 126 + -126 = 0 0 + 30X = -4 + -126 30X = -4 + -126 Combine like terms: -4 + -126 = -130 30X = -130 Divide each side by '30'. X = -4.333333333 Simplifying X = -4.333333333
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